(9x-17)(x+10)=0

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Solution for (9x-17)(x+10)=0 equation:


Simplifying
(9x + -17)(x + 10) = 0

Reorder the terms:
(-17 + 9x)(x + 10) = 0

Reorder the terms:
(-17 + 9x)(10 + x) = 0

Multiply (-17 + 9x) * (10 + x)
(-17(10 + x) + 9x * (10 + x)) = 0
((10 * -17 + x * -17) + 9x * (10 + x)) = 0
((-170 + -17x) + 9x * (10 + x)) = 0
(-170 + -17x + (10 * 9x + x * 9x)) = 0
(-170 + -17x + (90x + 9x2)) = 0

Combine like terms: -17x + 90x = 73x
(-170 + 73x + 9x2) = 0

Solving
-170 + 73x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(17 + -9x) = 0

Subproblem 1

Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10

Subproblem 2

Set the factor '(17 + -9x)' equal to zero and attempt to solve: Simplifying 17 + -9x = 0 Solving 17 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -9x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -9x = 0 + -17 -9x = 0 + -17 Combine like terms: 0 + -17 = -17 -9x = -17 Divide each side by '-9'. x = 1.888888889 Simplifying x = 1.888888889

Solution

x = {-10, 1.888888889}

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