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Simplifying 15x2 = 46x + -35 Reorder the terms: 15x2 = -35 + 46x Solving 15x2 = -35 + 46x Solving for variable 'x'. Reorder the terms: 35 + -46x + 15x2 = -35 + 46x + 35 + -46x Reorder the terms: 35 + -46x + 15x2 = -35 + 35 + 46x + -46x Combine like terms: -35 + 35 = 0 35 + -46x + 15x2 = 0 + 46x + -46x 35 + -46x + 15x2 = 46x + -46x Combine like terms: 46x + -46x = 0 35 + -46x + 15x2 = 0 Factor a trinomial. (7 + -5x)(5 + -3x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {1.4, 1.666666667}
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