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Simplifying 65x2 + 212x + -133 = 0 Reorder the terms: -133 + 212x + 65x2 = 0 Solving -133 + 212x + 65x2 = 0 Solving for variable 'x'. Factor a trinomial. (-19 + -5x)(7 + -13x) = 0Subproblem 1
Set the factor '(-19 + -5x)' equal to zero and attempt to solve: Simplifying -19 + -5x = 0 Solving -19 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -5x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -5x = 0 + 19 -5x = 0 + 19 Combine like terms: 0 + 19 = 19 -5x = 19 Divide each side by '-5'. x = -3.8 Simplifying x = -3.8Subproblem 2
Set the factor '(7 + -13x)' equal to zero and attempt to solve: Simplifying 7 + -13x = 0 Solving 7 + -13x = 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 + -13x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = 0 + -7 -13x = 0 + -7 Combine like terms: 0 + -7 = -7 -13x = -7 Divide each side by '-13'. x = 0.5384615385 Simplifying x = 0.5384615385Solution
x = {-3.8, 0.5384615385}
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