2x^2-3x+8x-12=

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Solution for 2x^2-3x+8x-12= equation:


Simplifying
2x2 + -3x + 8x + -12 = 0

Reorder the terms:
-12 + -3x + 8x + 2x2 = 0

Combine like terms: -3x + 8x = 5x
-12 + 5x + 2x2 = 0

Solving
-12 + 5x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(3 + -2x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-4, 1.5}

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