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Simplifying 75x2 + -91x + -12 = 0 Reorder the terms: -12 + -91x + 75x2 = 0 Solving -12 + -91x + 75x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -25x)(4 + -3x) = 0Subproblem 1
Set the factor '(-3 + -25x)' equal to zero and attempt to solve: Simplifying -3 + -25x = 0 Solving -3 + -25x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -25x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -25x = 0 + 3 -25x = 0 + 3 Combine like terms: 0 + 3 = 3 -25x = 3 Divide each side by '-25'. x = -0.12 Simplifying x = -0.12Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-0.12, 1.333333333}
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