10x^2+x-10=-2x+8

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Solution for 10x^2+x-10=-2x+8 equation: 


Simplifying
10x2 + x + -10 = -2x + 8

Reorder the terms:
-10 + x + 10x2 = -2x + 8

Reorder the terms:
-10 + x + 10x2 = 8 + -2x

Solving
-10 + x + 10x2 = 8 + -2x

Solving for variable 'x'.

Reorder the terms:
-10 + -8 + x + 2x + 10x2 = 8 + -2x + -8 + 2x

Combine like terms: -10 + -8 = -18
-18 + x + 2x + 10x2 = 8 + -2x + -8 + 2x

Combine like terms: x + 2x = 3x
-18 + 3x + 10x2 = 8 + -2x + -8 + 2x

Reorder the terms:
-18 + 3x + 10x2 = 8 + -8 + -2x + 2x

Combine like terms: 8 + -8 = 0
-18 + 3x + 10x2 = 0 + -2x + 2x
-18 + 3x + 10x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 3x + 10x2 = 0

Factor a trinomial.
(-3 + -2x)(6 + -5x) = 0


Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 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 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-1.5, 1.2}

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