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Simplifying (x + -9)(5x + -3) = 0 Reorder the terms: (-9 + x)(5x + -3) = 0 Reorder the terms: (-9 + x)(-3 + 5x) = 0 Multiply (-9 + x) * (-3 + 5x) (-9(-3 + 5x) + x(-3 + 5x)) = 0 ((-3 * -9 + 5x * -9) + x(-3 + 5x)) = 0 ((27 + -45x) + x(-3 + 5x)) = 0 (27 + -45x + (-3 * x + 5x * x)) = 0 (27 + -45x + (-3x + 5x2)) = 0 Combine like terms: -45x + -3x = -48x (27 + -48x + 5x2) = 0 Solving 27 + -48x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(9 + -1x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0.6, 9}
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