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Simplifying 16x2 = 46x + -15 Reorder the terms: 16x2 = -15 + 46x Solving 16x2 = -15 + 46x Solving for variable 'x'. Reorder the terms: 15 + -46x + 16x2 = -15 + 46x + 15 + -46x Reorder the terms: 15 + -46x + 16x2 = -15 + 15 + 46x + -46x Combine like terms: -15 + 15 = 0 15 + -46x + 16x2 = 0 + 46x + -46x 15 + -46x + 16x2 = 46x + -46x Combine like terms: 46x + -46x = 0 15 + -46x + 16x2 = 0 Factor a trinomial. (3 + -8x)(5 + -2x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {0.375, 2.5}
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