(x+5)(x-3)-x^2=29

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Solution for (x+5)(x-3)-x^2=29 equation:


Simplifying
(x + 5)(x + -3) + -1x2 = 29

Reorder the terms:
(5 + x)(x + -3) + -1x2 = 29

Reorder the terms:
(5 + x)(-3 + x) + -1x2 = 29

Multiply (5 + x) * (-3 + x)
(5(-3 + x) + x(-3 + x)) + -1x2 = 29
((-3 * 5 + x * 5) + x(-3 + x)) + -1x2 = 29
((-15 + 5x) + x(-3 + x)) + -1x2 = 29
(-15 + 5x + (-3 * x + x * x)) + -1x2 = 29
(-15 + 5x + (-3x + x2)) + -1x2 = 29

Combine like terms: 5x + -3x = 2x
(-15 + 2x + x2) + -1x2 = 29

Combine like terms: x2 + -1x2 = 0
-15 + 2x + 0 = 29
-15 + 2x = 29

Solving
-15 + 2x = 29

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 2x = 29 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 29 + 15
2x = 29 + 15

Combine like terms: 29 + 15 = 44
2x = 44

Divide each side by '2'.
x = 22

Simplifying
x = 22

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