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Simplifying x2 + -2x + -48 + x2 + -5x + -66 = 0 Reorder the terms: -48 + -66 + -2x + -5x + x2 + x2 = 0 Combine like terms: -48 + -66 = -114 -114 + -2x + -5x + x2 + x2 = 0 Combine like terms: -2x + -5x = -7x -114 + -7x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 -114 + -7x + 2x2 = 0 Solving -114 + -7x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(19 + -2x) = 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 '(19 + -2x)' equal to zero and attempt to solve: Simplifying 19 + -2x = 0 Solving 19 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 0 + -19 -2x = 0 + -19 Combine like terms: 0 + -19 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5Solution
x = {-6, 9.5}
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