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Simplifying 0 = (8x + 9)(x + -3) Reorder the terms: 0 = (9 + 8x)(x + -3) Reorder the terms: 0 = (9 + 8x)(-3 + x) Multiply (9 + 8x) * (-3 + x) 0 = (9(-3 + x) + 8x * (-3 + x)) 0 = ((-3 * 9 + x * 9) + 8x * (-3 + x)) 0 = ((-27 + 9x) + 8x * (-3 + x)) 0 = (-27 + 9x + (-3 * 8x + x * 8x)) 0 = (-27 + 9x + (-24x + 8x2)) Combine like terms: 9x + -24x = -15x 0 = (-27 + -15x + 8x2) Solving 0 = -27 + -15x + 8x2 Solving for variable 'x'. Combine like terms: 0 + 27 = 27 27 + 15x + -8x2 = -27 + -15x + 8x2 + 27 + 15x + -8x2 Reorder the terms: 27 + 15x + -8x2 = -27 + 27 + -15x + 15x + 8x2 + -8x2 Combine like terms: -27 + 27 = 0 27 + 15x + -8x2 = 0 + -15x + 15x + 8x2 + -8x2 27 + 15x + -8x2 = -15x + 15x + 8x2 + -8x2 Combine like terms: -15x + 15x = 0 27 + 15x + -8x2 = 0 + 8x2 + -8x2 27 + 15x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 27 + 15x + -8x2 = 0 Factor a trinomial. (3 + -1x)(9 + 8x) = 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 '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Solution
x = {3, -1.125}
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