(x+1)(x-3)=x(x+2)-40

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Solution for (x+1)(x-3)=x(x+2)-40 equation: 


Simplifying
(x + 1)(x + -3) = x(x + 2) + -40

Reorder the terms:
(1 + x)(x + -3) = x(x + 2) + -40

Reorder the terms:
(1 + x)(-3 + x) = x(x + 2) + -40

Multiply (1 + x) * (-3 + x)
(1(-3 + x) + x(-3 + x)) = x(x + 2) + -40
((-3 * 1 + x * 1) + x(-3 + x)) = x(x + 2) + -40
((-3 + 1x) + x(-3 + x)) = x(x + 2) + -40
(-3 + 1x + (-3 * x + x * x)) = x(x + 2) + -40
(-3 + 1x + (-3x + x2)) = x(x + 2) + -40

Combine like terms: 1x + -3x = -2x
(-3 + -2x + x2) = x(x + 2) + -40

Reorder the terms:
-3 + -2x + x2 = x(2 + x) + -40
-3 + -2x + x2 = (2 * x + x * x) + -40
-3 + -2x + x2 = (2x + x2) + -40

Reorder the terms:
-3 + -2x + x2 = -40 + 2x + x2

Add '-1x2' to each side of the equation.
-3 + -2x + x2 + -1x2 = -40 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + -2x + 0 = -40 + 2x + x2 + -1x2
-3 + -2x = -40 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + -2x = -40 + 2x + 0
-3 + -2x = -40 + 2x

Solving
-3 + -2x = -40 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + -2x + -2x = -40 + 2x + -2x

Combine like terms: -2x + -2x = -4x
-3 + -4x = -40 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -4x = -40 + 0
-3 + -4x = -40

Add '3' to each side of the equation.
-3 + 3 + -4x = -40 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = -40 + 3
-4x = -40 + 3

Combine like terms: -40 + 3 = -37
-4x = -37

Divide each side by '-4'.
x = 9.25

Simplifying
x = 9.25

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