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Simplifying 35x2 + -59x + -48 = 0 Reorder the terms: -48 + -59x + 35x2 = 0 Solving -48 + -59x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -5x)(16 + -7x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 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 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(16 + -7x)' equal to zero and attempt to solve: Simplifying 16 + -7x = 0 Solving 16 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -7x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = 0 + -16 -7x = 0 + -16 Combine like terms: 0 + -16 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286Solution
x = {-0.6, 2.285714286}
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