(3x^2-12x^2)-(2x-x+2x^2-x^2)=0

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Solution for (3x^2-12x^2)-(2x-x+2x^2-x^2)=0 equation:


Simplifying
(3x2 + -12x2) + -1(2x + -1x + 2x2 + -1x2) = 0

Combine like terms: 3x2 + -12x2 = -9x2
(-9x2) + -1(2x + -1x + 2x2 + -1x2) = 0
(-9x2) + -1(2x + -1x + 2x2 + -1x2) = 0

Combine like terms: 2x + -1x = 1x
(-9x2) + -1(1x + 2x2 + -1x2) = 0

Combine like terms: 2x2 + -1x2 = 1x2
(-9x2) + -1(1x + 1x2) = 0
(-9x2) + (1x * -1 + 1x2 * -1) = 0
(-9x2) + (-1x + -1x2) = 0

Reorder the terms:
-1x + (-9x2) + -1x2 = 0

Combine like terms: (-9x2) + -1x2 = -10x2
-1x + -10x2 = 0

Solving
-1x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 10x) = 0

Ignore the factor -1.

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 '(1 + 10x)' equal to zero and attempt to solve: Simplifying 1 + 10x = 0 Solving 1 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0 + -1 10x = 0 + -1 Combine like terms: 0 + -1 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1

Solution

x = {0, -0.1}

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