(2x-3)(x+1)=(x-5)(3x+14)+63

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Solution for (2x-3)(x+1)=(x-5)(3x+14)+63 equation: 


Simplifying
(2x + -3)(x + 1) = (x + -5)(3x + 14) + 63

Reorder the terms:
(-3 + 2x)(x + 1) = (x + -5)(3x + 14) + 63

Reorder the terms:
(-3 + 2x)(1 + x) = (x + -5)(3x + 14) + 63

Multiply (-3 + 2x) * (1 + x)
(-3(1 + x) + 2x * (1 + x)) = (x + -5)(3x + 14) + 63
((1 * -3 + x * -3) + 2x * (1 + x)) = (x + -5)(3x + 14) + 63
((-3 + -3x) + 2x * (1 + x)) = (x + -5)(3x + 14) + 63
(-3 + -3x + (1 * 2x + x * 2x)) = (x + -5)(3x + 14) + 63
(-3 + -3x + (2x + 2x2)) = (x + -5)(3x + 14) + 63

Combine like terms: -3x + 2x = -1x
(-3 + -1x + 2x2) = (x + -5)(3x + 14) + 63

Reorder the terms:
-3 + -1x + 2x2 = (-5 + x)(3x + 14) + 63

Reorder the terms:
-3 + -1x + 2x2 = (-5 + x)(14 + 3x) + 63

Multiply (-5 + x) * (14 + 3x)
-3 + -1x + 2x2 = (-5(14 + 3x) + x(14 + 3x)) + 63
-3 + -1x + 2x2 = ((14 * -5 + 3x * -5) + x(14 + 3x)) + 63
-3 + -1x + 2x2 = ((-70 + -15x) + x(14 + 3x)) + 63
-3 + -1x + 2x2 = (-70 + -15x + (14 * x + 3x * x)) + 63
-3 + -1x + 2x2 = (-70 + -15x + (14x + 3x2)) + 63

Combine like terms: -15x + 14x = -1x
-3 + -1x + 2x2 = (-70 + -1x + 3x2) + 63

Reorder the terms:
-3 + -1x + 2x2 = -70 + 63 + -1x + 3x2

Combine like terms: -70 + 63 = -7
-3 + -1x + 2x2 = -7 + -1x + 3x2

Add 'x' to each side of the equation.
-3 + -1x + x + 2x2 = -7 + -1x + x + 3x2

Combine like terms: -1x + x = 0
-3 + 0 + 2x2 = -7 + -1x + x + 3x2
-3 + 2x2 = -7 + -1x + x + 3x2

Combine like terms: -1x + x = 0
-3 + 2x2 = -7 + 0 + 3x2
-3 + 2x2 = -7 + 3x2

Solving
-3 + 2x2 = -7 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-3 + 2x2 + -3x2 = -7 + 3x2 + -3x2

Combine like terms: 2x2 + -3x2 = -1x2
-3 + -1x2 = -7 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3 + -1x2 = -7 + 0
-3 + -1x2 = -7

Add '3' to each side of the equation.
-3 + 3 + -1x2 = -7 + 3

Combine like terms: -3 + 3 = 0
0 + -1x2 = -7 + 3
-1x2 = -7 + 3

Combine like terms: -7 + 3 = -4
-1x2 = -4

Divide each side by '-1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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