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Simplifying 65x2 + 24x + -432 = 0 Reorder the terms: -432 + 24x + 65x2 = 0 Solving -432 + 24x + 65x2 = 0 Solving for variable 'x'. Factor a trinomial. (-36 + -13x)(12 + -5x) = 0Subproblem 1
Set the factor '(-36 + -13x)' equal to zero and attempt to solve: Simplifying -36 + -13x = 0 Solving -36 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -13x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -13x = 0 + 36 -13x = 0 + 36 Combine like terms: 0 + 36 = 36 -13x = 36 Divide each side by '-13'. x = -2.769230769 Simplifying x = -2.769230769Subproblem 2
Set the factor '(12 + -5x)' equal to zero and attempt to solve: Simplifying 12 + -5x = 0 Solving 12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4Solution
x = {-2.769230769, 2.4}
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