x^2+4-15x+10=2x-2

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Solution for x^2+4-15x+10=2x-2 equation: 


Simplifying
x2 + 4 + -15x + 10 = 2x + -2

Reorder the terms:
4 + 10 + -15x + x2 = 2x + -2

Combine like terms: 4 + 10 = 14
14 + -15x + x2 = 2x + -2

Reorder the terms:
14 + -15x + x2 = -2 + 2x

Solving
14 + -15x + x2 = -2 + 2x

Solving for variable 'x'.

Reorder the terms:
14 + 2 + -15x + -2x + x2 = -2 + 2x + 2 + -2x

Combine like terms: 14 + 2 = 16
16 + -15x + -2x + x2 = -2 + 2x + 2 + -2x

Combine like terms: -15x + -2x = -17x
16 + -17x + x2 = -2 + 2x + 2 + -2x

Reorder the terms:
16 + -17x + x2 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
16 + -17x + x2 = 0 + 2x + -2x
16 + -17x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -17x + x2 = 0

Factor a trinomial.
(1 + -1x)(16 + -1x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {1, 16}

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