-28+13x+3x^2=2+2x^2

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Solution for -28+13x+3x^2=2+2x^2 equation:


Simplifying
-28 + 13x + 3x2 = 2 + 2x2

Solving
-28 + 13x + 3x2 = 2 + 2x2

Solving for variable 'x'.

Reorder the terms:
-28 + -2 + 13x + 3x2 + -2x2 = 2 + 2x2 + -2 + -2x2

Combine like terms: -28 + -2 = -30
-30 + 13x + 3x2 + -2x2 = 2 + 2x2 + -2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-30 + 13x + 1x2 = 2 + 2x2 + -2 + -2x2

Reorder the terms:
-30 + 13x + 1x2 = 2 + -2 + 2x2 + -2x2

Combine like terms: 2 + -2 = 0
-30 + 13x + 1x2 = 0 + 2x2 + -2x2
-30 + 13x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-30 + 13x + 1x2 = 0

Factor a trinomial.
(-15 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-15, 2}

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