(3x-8)(x+7)=13x-56

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Solution for (3x-8)(x+7)=13x-56 equation:


Simplifying
(3x + -8)(x + 7) = 13x + -56

Reorder the terms:
(-8 + 3x)(x + 7) = 13x + -56

Reorder the terms:
(-8 + 3x)(7 + x) = 13x + -56

Multiply (-8 + 3x) * (7 + x)
(-8(7 + x) + 3x * (7 + x)) = 13x + -56
((7 * -8 + x * -8) + 3x * (7 + x)) = 13x + -56
((-56 + -8x) + 3x * (7 + x)) = 13x + -56
(-56 + -8x + (7 * 3x + x * 3x)) = 13x + -56
(-56 + -8x + (21x + 3x2)) = 13x + -56

Combine like terms: -8x + 21x = 13x
(-56 + 13x + 3x2) = 13x + -56

Reorder the terms:
-56 + 13x + 3x2 = -56 + 13x

Add '56' to each side of the equation.
-56 + 13x + 56 + 3x2 = -56 + 56 + 13x

Reorder the terms:
-56 + 56 + 13x + 3x2 = -56 + 56 + 13x

Combine like terms: -56 + 56 = 0
0 + 13x + 3x2 = -56 + 56 + 13x
13x + 3x2 = -56 + 56 + 13x

Combine like terms: -56 + 56 = 0
13x + 3x2 = 0 + 13x
13x + 3x2 = 13x

Add '-13x' to each side of the equation.
13x + -13x + 3x2 = 13x + -13x

Combine like terms: 13x + -13x = 0
0 + 3x2 = 13x + -13x
3x2 = 13x + -13x

Combine like terms: 13x + -13x = 0
3x2 = 0

Solving
3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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