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Simplifying 2x(x + 6) + x + 3 = 48 Reorder the terms: 2x(6 + x) + x + 3 = 48 (6 * 2x + x * 2x) + x + 3 = 48 (12x + 2x2) + x + 3 = 48 Reorder the terms: 3 + 12x + x + 2x2 = 48 Combine like terms: 12x + x = 13x 3 + 13x + 2x2 = 48 Solving 3 + 13x + 2x2 = 48 Solving for variable 'x'. Reorder the terms: 3 + -48 + 13x + 2x2 = 48 + -48 Combine like terms: 3 + -48 = -45 -45 + 13x + 2x2 = 48 + -48 Combine like terms: 48 + -48 = 0 -45 + 13x + 2x2 = 0 Factor a trinomial. (-9 + -1x)(5 + -2x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
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 = 2.5Solution
x = {-9, 2.5}
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