(5x-3)(x-2)=-63x-119

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Solution for (5x-3)(x-2)=-63x-119 equation:


Simplifying
(5x + -3)(x + -2) = -63x + -119

Reorder the terms:
(-3 + 5x)(x + -2) = -63x + -119

Reorder the terms:
(-3 + 5x)(-2 + x) = -63x + -119

Multiply (-3 + 5x) * (-2 + x)
(-3(-2 + x) + 5x * (-2 + x)) = -63x + -119
((-2 * -3 + x * -3) + 5x * (-2 + x)) = -63x + -119
((6 + -3x) + 5x * (-2 + x)) = -63x + -119
(6 + -3x + (-2 * 5x + x * 5x)) = -63x + -119
(6 + -3x + (-10x + 5x2)) = -63x + -119

Combine like terms: -3x + -10x = -13x
(6 + -13x + 5x2) = -63x + -119

Reorder the terms:
6 + -13x + 5x2 = -119 + -63x

Solving
6 + -13x + 5x2 = -119 + -63x

Solving for variable 'x'.

Reorder the terms:
6 + 119 + -13x + 63x + 5x2 = -119 + -63x + 119 + 63x

Combine like terms: 6 + 119 = 125
125 + -13x + 63x + 5x2 = -119 + -63x + 119 + 63x

Combine like terms: -13x + 63x = 50x
125 + 50x + 5x2 = -119 + -63x + 119 + 63x

Reorder the terms:
125 + 50x + 5x2 = -119 + 119 + -63x + 63x

Combine like terms: -119 + 119 = 0
125 + 50x + 5x2 = 0 + -63x + 63x
125 + 50x + 5x2 = -63x + 63x

Combine like terms: -63x + 63x = 0
125 + 50x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(25 + 10x + x2) = 0

Factor a trinomial.
5((5 + x)(5 + x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {-5, -5}

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