x^2-3=(x+4)(x-5)

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Solution for x^2-3=(x+4)(x-5) equation:


Simplifying
x2 + -3 = (x + 4)(x + -5)

Reorder the terms:
-3 + x2 = (x + 4)(x + -5)

Reorder the terms:
-3 + x2 = (4 + x)(x + -5)

Reorder the terms:
-3 + x2 = (4 + x)(-5 + x)

Multiply (4 + x) * (-5 + x)
-3 + x2 = (4(-5 + x) + x(-5 + x))
-3 + x2 = ((-5 * 4 + x * 4) + x(-5 + x))
-3 + x2 = ((-20 + 4x) + x(-5 + x))
-3 + x2 = (-20 + 4x + (-5 * x + x * x))
-3 + x2 = (-20 + 4x + (-5x + x2))

Combine like terms: 4x + -5x = -1x
-3 + x2 = (-20 + -1x + x2)

Add '-1x2' to each side of the equation.
-3 + x2 + -1x2 = -20 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 0 = -20 + -1x + x2 + -1x2
-3 = -20 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 = -20 + -1x + 0
-3 = -20 + -1x

Solving
-3 = -20 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + x = -20 + -1x + x

Combine like terms: -1x + x = 0
-3 + x = -20 + 0
-3 + x = -20

Add '3' to each side of the equation.
-3 + 3 + x = -20 + 3

Combine like terms: -3 + 3 = 0
0 + x = -20 + 3
x = -20 + 3

Combine like terms: -20 + 3 = -17
x = -17

Simplifying
x = -17

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