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Simplifying 8x(3x + -22) = 30 Reorder the terms: 8x(-22 + 3x) = 30 (-22 * 8x + 3x * 8x) = 30 (-176x + 24x2) = 30 Solving -176x + 24x2 = 30 Solving for variable 'x'. Reorder the terms: -30 + -176x + 24x2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -176x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + -88x + 12x2) = 0 Factor a trinomial. 2((-1 + -6x)(15 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -6x)' equal to zero and attempt to solve: Simplifying -1 + -6x = 0 Solving -1 + -6x = 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 + -6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 0 + 1 -6x = 0 + 1 Combine like terms: 0 + 1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667Subproblem 2
Set the factor '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5Solution
x = {-0.1666666667, 7.5}
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