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Simplifying 8(9x + -27)(7x + 3) = 0 Reorder the terms: 8(-27 + 9x)(7x + 3) = 0 Reorder the terms: 8(-27 + 9x)(3 + 7x) = 0 Multiply (-27 + 9x) * (3 + 7x) 8(-27(3 + 7x) + 9x * (3 + 7x)) = 0 8((3 * -27 + 7x * -27) + 9x * (3 + 7x)) = 0 8((-81 + -189x) + 9x * (3 + 7x)) = 0 8(-81 + -189x + (3 * 9x + 7x * 9x)) = 0 8(-81 + -189x + (27x + 63x2)) = 0 Combine like terms: -189x + 27x = -162x 8(-81 + -162x + 63x2) = 0 (-81 * 8 + -162x * 8 + 63x2 * 8) = 0 (-648 + -1296x + 504x2) = 0 Solving -648 + -1296x + 504x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '72'. 72(-9 + -18x + 7x2) = 0 Factor a trinomial. 72((-3 + -7x)(3 + -1x)) = 0 Ignore the factor 72.Subproblem 1
Set the factor '(-3 + -7x)' equal to zero and attempt to solve: Simplifying -3 + -7x = 0 Solving -3 + -7x = 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 + -7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 0 + 3 -7x = 0 + 3 Combine like terms: 0 + 3 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286Subproblem 2
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 = 3Solution
x = {-0.4285714286, 3}
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