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Guadalupe Phillips
Mathematics
20 May, 02:53
Greatest common factor of 4ax^2+4ax+4a
+1
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Hallie Crosby
20 May, 02:59
0
The greatest common factor is 4
Explanation: all terms in the equation can be divided by four
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Anna Fritz
20 May, 03:19
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Simplifying
4AX2 + 4AX + 4A = 0
Reorder the terms:
4A + 4AX + 4AX2 = 0
Solving
4A + 4AX + 4AX2 = 0
Solving for variable 'A'.
Move all terms containing A to the left, all other terms to the right.
Factor out the Greatest Common Factor (GCF), '4A'.
4A (1 + X + X2) = 0
Ignore the factor 4.
Subproblem 1
Set the factor 'A' equal to zero and attempt to solve:
Simplifying
A = 0
Solving
A = 0
Move all terms containing A to the left, all other terms to the right.
Simplifying
A = 0
Subproblem 2
Set the factor ' (1 + X + X2) ' equal to zero and attempt to solve:
Simplifying
1 + X + X2 = 0
Solving
1 + X + X2 = 0
Move all terms containing A to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + X + - 1 + X2 = 0 + - 1
Reorder the terms:
1 + - 1 + X + X2 = 0 + - 1
Combine like terms: 1 + - 1 = 0
0 + X + X2 = 0 + - 1
X + X2 = 0 + - 1
Combine like terms: 0 + - 1 = - 1
X + X2 = - 1
Add '-1X' to each side of the equation.
X + - 1X + X2 = - 1 + - 1X
Combine like terms: X + - 1X = 0
0 + X2 = - 1 + - 1X
X2 = - 1 + - 1X
Add '-1X2' to each side of the equation.
X2 + - 1X2 = - 1 + - 1X + - 1X2
Combine like terms: X2 + - 1X2 = 0
0 = - 1 + - 1X + - 1X2
Simplifying
0 = - 1 + - 1X + - 1X2
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
Solution
A = {0}
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