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Simplifying (3x + -4)(x) = 55 Reorder the terms: (-4 + 3x)(x) = 55 Reorder the terms for easier multiplication: x(-4 + 3x) = 55 (-4 * x + 3x * x) = 55 (-4x + 3x2) = 55 Solving -4x + 3x2 = 55 Solving for variable 'x'. Reorder the terms: -55 + -4x + 3x2 = 55 + -55 Combine like terms: 55 + -55 = 0 -55 + -4x + 3x2 = 0 Factor a trinomial. (-11 + -3x)(5 + -1x) = 0Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve: Simplifying -11 + -3x = 0 Solving -11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-3.666666667, 5}
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