x^2-5-15=-2x-5

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Solution for x^2-5-15=-2x-5 equation:


Simplifying
x2 + -5 + -15 = -2x + -5

Reorder the terms:
-5 + -15 + x2 = -2x + -5

Combine like terms: -5 + -15 = -20
-20 + x2 = -2x + -5

Reorder the terms:
-20 + x2 = -5 + -2x

Solving
-20 + x2 = -5 + -2x

Solving for variable 'x'.

Reorder the terms:
-20 + 5 + 2x + x2 = -5 + -2x + 5 + 2x

Combine like terms: -20 + 5 = -15
-15 + 2x + x2 = -5 + -2x + 5 + 2x

Reorder the terms:
-15 + 2x + x2 = -5 + 5 + -2x + 2x

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

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

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

Subproblem 1

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

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 = {-5, 3}

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