4x^2+10x-12=3x^2-11x-12

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Solution for 4x^2+10x-12=3x^2-11x-12 equation: 


Simplifying
4x2 + 10x + -12 = 3x2 + -11x + -12

Reorder the terms:
-12 + 10x + 4x2 = 3x2 + -11x + -12

Reorder the terms:
-12 + 10x + 4x2 = -12 + -11x + 3x2

Add '12' to each side of the equation.
-12 + 10x + 12 + 4x2 = -12 + -11x + 12 + 3x2

Reorder the terms:
-12 + 12 + 10x + 4x2 = -12 + -11x + 12 + 3x2

Combine like terms: -12 + 12 = 0
0 + 10x + 4x2 = -12 + -11x + 12 + 3x2
10x + 4x2 = -12 + -11x + 12 + 3x2

Reorder the terms:
10x + 4x2 = -12 + 12 + -11x + 3x2

Combine like terms: -12 + 12 = 0
10x + 4x2 = 0 + -11x + 3x2
10x + 4x2 = -11x + 3x2

Solving
10x + 4x2 = -11x + 3x2

Solving for variable 'x'.

Reorder the terms:
10x + 11x + 4x2 + -3x2 = -11x + 3x2 + 11x + -3x2

Combine like terms: 10x + 11x = 21x
21x + 4x2 + -3x2 = -11x + 3x2 + 11x + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
21x + 1x2 = -11x + 3x2 + 11x + -3x2

Reorder the terms:
21x + 1x2 = -11x + 11x + 3x2 + -3x2

Combine like terms: -11x + 11x = 0
21x + 1x2 = 0 + 3x2 + -3x2
21x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
21x + 1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(21 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(21 + x)' equal to zero and attempt to solve:

Simplifying
21 + x = 0

Solving
21 + x = 0

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

Add '-21' to each side of the equation.
21 + -21 + x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + x = 0 + -21
x = 0 + -21

Combine like terms: 0 + -21 = -21
x = -21

Simplifying
x = -21
Solution
x = {0, -21}

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