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Simplifying 2x2 + 109x + 624 = 0 Reorder the terms: 624 + 109x + 2x2 = 0 Solving 624 + 109x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (48 + x)(13 + 2x) = 0Subproblem 1
Set the factor '(48 + x)' equal to zero and attempt to solve: Simplifying 48 + x = 0 Solving 48 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + x = 0 + -48 x = 0 + -48 Combine like terms: 0 + -48 = -48 x = -48 Simplifying x = -48Subproblem 2
Set the factor '(13 + 2x)' equal to zero and attempt to solve: Simplifying 13 + 2x = 0 Solving 13 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 0 + -13 2x = 0 + -13 Combine like terms: 0 + -13 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5Solution
x = {-48, -6.5}
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