(x+9)(x-17)=(x+5)(x-10)

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Solution for (x+9)(x-17)=(x+5)(x-10) equation: 


Simplifying
(x + 9)(x + -17) = (x + 5)(x + -10)

Reorder the terms:
(9 + x)(x + -17) = (x + 5)(x + -10)

Reorder the terms:
(9 + x)(-17 + x) = (x + 5)(x + -10)

Multiply (9 + x) * (-17 + x)
(9(-17 + x) + x(-17 + x)) = (x + 5)(x + -10)
((-17 * 9 + x * 9) + x(-17 + x)) = (x + 5)(x + -10)
((-153 + 9x) + x(-17 + x)) = (x + 5)(x + -10)
(-153 + 9x + (-17 * x + x * x)) = (x + 5)(x + -10)
(-153 + 9x + (-17x + x2)) = (x + 5)(x + -10)

Combine like terms: 9x + -17x = -8x
(-153 + -8x + x2) = (x + 5)(x + -10)

Reorder the terms:
-153 + -8x + x2 = (5 + x)(x + -10)

Reorder the terms:
-153 + -8x + x2 = (5 + x)(-10 + x)

Multiply (5 + x) * (-10 + x)
-153 + -8x + x2 = (5(-10 + x) + x(-10 + x))
-153 + -8x + x2 = ((-10 * 5 + x * 5) + x(-10 + x))
-153 + -8x + x2 = ((-50 + 5x) + x(-10 + x))
-153 + -8x + x2 = (-50 + 5x + (-10 * x + x * x))
-153 + -8x + x2 = (-50 + 5x + (-10x + x2))

Combine like terms: 5x + -10x = -5x
-153 + -8x + x2 = (-50 + -5x + x2)

Add '-1x2' to each side of the equation.
-153 + -8x + x2 + -1x2 = -50 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-153 + -8x + 0 = -50 + -5x + x2 + -1x2
-153 + -8x = -50 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-153 + -8x = -50 + -5x + 0
-153 + -8x = -50 + -5x

Solving
-153 + -8x = -50 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-153 + -8x + 5x = -50 + -5x + 5x

Combine like terms: -8x + 5x = -3x
-153 + -3x = -50 + -5x + 5x

Combine like terms: -5x + 5x = 0
-153 + -3x = -50 + 0
-153 + -3x = -50

Add '153' to each side of the equation.
-153 + 153 + -3x = -50 + 153

Combine like terms: -153 + 153 = 0
0 + -3x = -50 + 153
-3x = -50 + 153

Combine like terms: -50 + 153 = 103
-3x = 103

Divide each side by '-3'.
x = -34.33333333

Simplifying
x = -34.33333333

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