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Simplifying (7x + -2)(9x + 3) = 0 Reorder the terms: (-2 + 7x)(9x + 3) = 0 Reorder the terms: (-2 + 7x)(3 + 9x) = 0 Multiply (-2 + 7x) * (3 + 9x) (-2(3 + 9x) + 7x * (3 + 9x)) = 0 ((3 * -2 + 9x * -2) + 7x * (3 + 9x)) = 0 ((-6 + -18x) + 7x * (3 + 9x)) = 0 (-6 + -18x + (3 * 7x + 9x * 7x)) = 0 (-6 + -18x + (21x + 63x2)) = 0 Combine like terms: -18x + 21x = 3x (-6 + 3x + 63x2) = 0 Solving -6 + 3x + 63x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + x + 21x2) = 0 Factor a trinomial. 3((-1 + -3x)(2 + -7x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {-0.3333333333, 0.2857142857}
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