(17x+9)(8x-11)=0

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Solution for (17x+9)(8x-11)=0 equation:


Simplifying
(17x + 9)(8x + -11) = 0

Reorder the terms:
(9 + 17x)(8x + -11) = 0

Reorder the terms:
(9 + 17x)(-11 + 8x) = 0

Multiply (9 + 17x) * (-11 + 8x)
(9(-11 + 8x) + 17x * (-11 + 8x)) = 0
((-11 * 9 + 8x * 9) + 17x * (-11 + 8x)) = 0
((-99 + 72x) + 17x * (-11 + 8x)) = 0
(-99 + 72x + (-11 * 17x + 8x * 17x)) = 0
(-99 + 72x + (-187x + 136x2)) = 0

Combine like terms: 72x + -187x = -115x
(-99 + -115x + 136x2) = 0

Solving
-99 + -115x + 136x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -17x)(11 + -8x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(11 + -8x)' equal to zero and attempt to solve: Simplifying 11 + -8x = 0 Solving 11 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 0 + -11 -8x = 0 + -11 Combine like terms: 0 + -11 = -11 -8x = -11 Divide each side by '-8'. x = 1.375 Simplifying x = 1.375

Solution

x = {-0.5294117647, 1.375}

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