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Simplifying (2x + 3)(x) = 104 Reorder the terms: (3 + 2x)(x) = 104 Reorder the terms for easier multiplication: x(3 + 2x) = 104 (3 * x + 2x * x) = 104 (3x + 2x2) = 104 Solving 3x + 2x2 = 104 Solving for variable 'x'. Reorder the terms: -104 + 3x + 2x2 = 104 + -104 Combine like terms: 104 + -104 = 0 -104 + 3x + 2x2 = 0 Factor a trinomial. (-8 + -1x)(13 + -2x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 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 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 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 = {-8, 6.5}
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