-x^2-3x+10=2x^2+10

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Solution for -x^2-3x+10=2x^2+10 equation: 


Simplifying
-1x2 + -3x + 10 = 2x2 + 10

Reorder the terms:
10 + -3x + -1x2 = 2x2 + 10

Reorder the terms:
10 + -3x + -1x2 = 10 + 2x2

Add '-10' to each side of the equation.
10 + -3x + -10 + -1x2 = 10 + -10 + 2x2

Reorder the terms:
10 + -10 + -3x + -1x2 = 10 + -10 + 2x2

Combine like terms: 10 + -10 = 0
0 + -3x + -1x2 = 10 + -10 + 2x2
-3x + -1x2 = 10 + -10 + 2x2

Combine like terms: 10 + -10 = 0
-3x + -1x2 = 0 + 2x2
-3x + -1x2 = 2x2

Solving
-3x + -1x2 = 2x2

Solving for variable 'x'.

Combine like terms: -1x2 + -2x2 = -3x2
-3x + -3x2 = 2x2 + -2x2

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

Factor out the Greatest Common Factor (GCF), '-3x'.
-3x(1 + x) = 0

Ignore the factor -3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {0, -1}

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