5x^2-12x-11=-2

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


Simplifying
5x2 + -12x + -11 = -2

Reorder the terms:
-11 + -12x + 5x2 = -2

Solving
-11 + -12x + 5x2 = -2

Solving for variable 'x'.

Reorder the terms:
-11 + 2 + -12x + 5x2 = -2 + 2

Combine like terms: -11 + 2 = -9
-9 + -12x + 5x2 = -2 + 2

Combine like terms: -2 + 2 = 0
-9 + -12x + 5x2 = 0

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

Subproblem 1

Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 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 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6

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 = {-0.6, 3}

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