72x^2-23x-35=0

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Solution for 72x^2-23x-35=0 equation:


Simplifying
72x2 + -23x + -35 = 0

Reorder the terms:
-35 + -23x + 72x2 = 0

Solving
-35 + -23x + 72x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -9x)(7 + -8x) = 0

Subproblem 1

Set the factor '(-5 + -9x)' equal to zero and attempt to solve: Simplifying -5 + -9x = 0 Solving -5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 0 + 5 -9x = 0 + 5 Combine like terms: 0 + 5 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556

Subproblem 2

Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875

Solution

x = {-0.5555555556, 0.875}

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