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Simplifying -16x2 + 47x + -30 = 0 Reorder the terms: -30 + 47x + -16x2 = 0 Solving -30 + 47x + -16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + x)(15 + -16x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(15 + -16x)' equal to zero and attempt to solve: Simplifying 15 + -16x = 0 Solving 15 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -16x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -16x = 0 + -15 -16x = 0 + -15 Combine like terms: 0 + -15 = -15 -16x = -15 Divide each side by '-16'. x = 0.9375 Simplifying x = 0.9375Solution
x = {2, 0.9375}
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