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Simplifying (-2x + 5)(3x + 18) = 0 Reorder the terms: (5 + -2x)(3x + 18) = 0 Reorder the terms: (5 + -2x)(18 + 3x) = 0 Multiply (5 + -2x) * (18 + 3x) (5(18 + 3x) + -2x * (18 + 3x)) = 0 ((18 * 5 + 3x * 5) + -2x * (18 + 3x)) = 0 ((90 + 15x) + -2x * (18 + 3x)) = 0 (90 + 15x + (18 * -2x + 3x * -2x)) = 0 (90 + 15x + (-36x + -6x2)) = 0 Combine like terms: 15x + -36x = -21x (90 + -21x + -6x2) = 0 Solving 90 + -21x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(30 + -7x + -2x2) = 0 Factor a trinomial. 3((5 + -2x)(6 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {2.5, -6}
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