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Simplifying -8x(x + 6) + 3x + 18 = 0 Reorder the terms: -8x(6 + x) + 3x + 18 = 0 (6 * -8x + x * -8x) + 3x + 18 = 0 (-48x + -8x2) + 3x + 18 = 0 Reorder the terms: 18 + -48x + 3x + -8x2 = 0 Combine like terms: -48x + 3x = -45x 18 + -45x + -8x2 = 0 Solving 18 + -45x + -8x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -8x)(6 + x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 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 = {0.375, -6}
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