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Simplifying (4x + 4)(x + 5) = 55x + -1 Reorder the terms: (4 + 4x)(x + 5) = 55x + -1 Reorder the terms: (4 + 4x)(5 + x) = 55x + -1 Multiply (4 + 4x) * (5 + x) (4(5 + x) + 4x * (5 + x)) = 55x + -1 ((5 * 4 + x * 4) + 4x * (5 + x)) = 55x + -1 ((20 + 4x) + 4x * (5 + x)) = 55x + -1 (20 + 4x + (5 * 4x + x * 4x)) = 55x + -1 (20 + 4x + (20x + 4x2)) = 55x + -1 Combine like terms: 4x + 20x = 24x (20 + 24x + 4x2) = 55x + -1 Reorder the terms: 20 + 24x + 4x2 = -1 + 55x Solving 20 + 24x + 4x2 = -1 + 55x Solving for variable 'x'. Reorder the terms: 20 + 1 + 24x + -55x + 4x2 = -1 + 55x + 1 + -55x Combine like terms: 20 + 1 = 21 21 + 24x + -55x + 4x2 = -1 + 55x + 1 + -55x Combine like terms: 24x + -55x = -31x 21 + -31x + 4x2 = -1 + 55x + 1 + -55x Reorder the terms: 21 + -31x + 4x2 = -1 + 1 + 55x + -55x Combine like terms: -1 + 1 = 0 21 + -31x + 4x2 = 0 + 55x + -55x 21 + -31x + 4x2 = 55x + -55x Combine like terms: 55x + -55x = 0 21 + -31x + 4x2 = 0 Factor a trinomial. (3 + -4x)(7 + -1x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0.75, 7}
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