x^2-3x+15=-5(x-10)

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Solution for x^2-3x+15=-5(x-10) equation: 


Simplifying
x2 + -3x + 15 = -5(x + -10)

Reorder the terms:
15 + -3x + x2 = -5(x + -10)

Reorder the terms:
15 + -3x + x2 = -5(-10 + x)
15 + -3x + x2 = (-10 * -5 + x * -5)
15 + -3x + x2 = (50 + -5x)

Solving
15 + -3x + x2 = 50 + -5x

Solving for variable 'x'.

Reorder the terms:
15 + -50 + -3x + 5x + x2 = 50 + -5x + -50 + 5x

Combine like terms: 15 + -50 = -35
-35 + -3x + 5x + x2 = 50 + -5x + -50 + 5x

Combine like terms: -3x + 5x = 2x
-35 + 2x + x2 = 50 + -5x + -50 + 5x

Reorder the terms:
-35 + 2x + x2 = 50 + -50 + -5x + 5x

Combine like terms: 50 + -50 = 0
-35 + 2x + x2 = 0 + -5x + 5x
-35 + 2x + x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-35 + 2x + x2 = 0

Factor a trinomial.
(-7 + -1x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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 = {-7, 5}

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