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Simplifying 15 = x(4x + -7) Reorder the terms: 15 = x(-7 + 4x) 15 = (-7 * x + 4x * x) 15 = (-7x + 4x2) Solving 15 = -7x + 4x2 Solving for variable 'x'. Reorder the terms: 15 + 7x + -4x2 = -7x + 7x + 4x2 + -4x2 Combine like terms: -7x + 7x = 0 15 + 7x + -4x2 = 0 + 4x2 + -4x2 15 + 7x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 15 + 7x + -4x2 = 0 Factor a trinomial. (3 + -1x)(5 + 4x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Solution
x = {3, -1.25}
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