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

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


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

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

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

Multiply (-9 + -17x) * (17 + 17x)
(-9(17 + 17x) + -17x * (17 + 17x)) = 0
((17 * -9 + 17x * -9) + -17x * (17 + 17x)) = 0
((-153 + -153x) + -17x * (17 + 17x)) = 0
(-153 + -153x + (17 * -17x + 17x * -17x)) = 0
(-153 + -153x + (-289x + -289x2)) = 0

Combine like terms: -153x + -289x = -442x
(-153 + -442x + -289x2) = 0

Solving
-153 + -442x + -289x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-17'.
-17(9 + 26x + 17x2) = 0

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

Ignore the factor -17.

Subproblem 1

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

Subproblem 2

Set the factor '(9 + 17x)' equal to zero and attempt to solve: Simplifying 9 + 17x = 0 Solving 9 + 17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 17x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 17x = 0 + -9 17x = 0 + -9 Combine like terms: 0 + -9 = -9 17x = -9 Divide each side by '17'. x = -0.5294117647 Simplifying x = -0.5294117647

Solution

x = {-1, -0.5294117647}

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