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Simplifying 5x(x + 6) = 8x + 48 Reorder the terms: 5x(6 + x) = 8x + 48 (6 * 5x + x * 5x) = 8x + 48 (30x + 5x2) = 8x + 48 Reorder the terms: 30x + 5x2 = 48 + 8x Solving 30x + 5x2 = 48 + 8x Solving for variable 'x'. Reorder the terms: -48 + 30x + -8x + 5x2 = 48 + 8x + -48 + -8x Combine like terms: 30x + -8x = 22x -48 + 22x + 5x2 = 48 + 8x + -48 + -8x Reorder the terms: -48 + 22x + 5x2 = 48 + -48 + 8x + -8x Combine like terms: 48 + -48 = 0 -48 + 22x + 5x2 = 0 + 8x + -8x -48 + 22x + 5x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -48 + 22x + 5x2 = 0 Factor a trinomial. (-6 + -1x)(8 + -5x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 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 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Solution
x = {-6, 1.6}
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