a^2x+3x=2a^2forx

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Solution for a^2x+3x=2a^2forx equation:


Simplifying
a2x + 3x = 2a2forx

Solving
a2x + 3x = 2a2forx

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a2forx' to each side of the equation.
a2x + -2a2forx + 3x = 2a2forx + -2a2forx

Reorder the terms:
-2a2forx + a2x + 3x = 2a2forx + -2a2forx

Combine like terms: 2a2forx + -2a2forx = 0
-2a2forx + a2x + 3x = 0

Add '-3x' to each side of the equation.
-2a2forx + a2x + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
-2a2forx + a2x + 0 = 0 + -3x
-2a2forx + a2x = 0 + -3x
Remove the zero:
-2a2forx + a2x = -3x

Combine like terms: -3x + 3x = 0
-2a2forx + a2x + 3x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2a2for + a2 + 3) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-2a2for + a2 + 3)' equal to zero and attempt to solve: Simplifying -2a2for + a2 + 3 = 0 Reorder the terms: 3 + a2 + -2a2for = 0 Solving 3 + a2 + -2a2for = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + a2 + -3 + -2a2for = 0 + -3 Reorder the terms: 3 + -3 + a2 + -2a2for = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a2 + -2a2for = 0 + -3 a2 + -2a2for = 0 + -3 Combine like terms: 0 + -3 = -3 a2 + -2a2for = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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