5x^2-22x-13=2

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Solution for 5x^2-22x-13=2 equation:


Simplifying
5x2 + -22x + -13 = 2

Reorder the terms:
-13 + -22x + 5x2 = 2

Solving
-13 + -22x + 5x2 = 2

Solving for variable 'x'.

Reorder the terms:
-13 + -2 + -22x + 5x2 = 2 + -2

Combine like terms: -13 + -2 = -15
-15 + -22x + 5x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-15 + -22x + 5x2 = 0

Factor a trinomial.
(-3 + -5x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-0.6, 5}

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