2x^2+3x-5=2-2x

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Solution for 2x^2+3x-5=2-2x equation: 


Simplifying
2x2 + 3x + -5 = 2 + -2x

Reorder the terms:
-5 + 3x + 2x2 = 2 + -2x

Solving
-5 + 3x + 2x2 = 2 + -2x

Solving for variable 'x'.

Reorder the terms:
-5 + -2 + 3x + 2x + 2x2 = 2 + -2x + -2 + 2x

Combine like terms: -5 + -2 = -7
-7 + 3x + 2x + 2x2 = 2 + -2x + -2 + 2x

Combine like terms: 3x + 2x = 5x
-7 + 5x + 2x2 = 2 + -2x + -2 + 2x

Reorder the terms:
-7 + 5x + 2x2 = 2 + -2 + -2x + 2x

Combine like terms: 2 + -2 = 0
-7 + 5x + 2x2 = 0 + -2x + 2x
-7 + 5x + 2x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 5x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
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
Solution
x = {-3.5, 1}

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