5x^2-12=11x

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Solution for 5x^2-12=11x equation:


Simplifying
5x2 + -12 = 11x

Reorder the terms:
-12 + 5x2 = 11x

Solving
-12 + 5x2 = 11x

Solving for variable 'x'.

Reorder the terms:
-12 + -11x + 5x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
-12 + -11x + 5x2 = 0

Factor a trinomial.
(-4 + -5x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 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 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-0.8, 3}

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