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Simplifying (4x + 3)(-1x + 7) = 0 Reorder the terms: (3 + 4x)(-1x + 7) = 0 Reorder the terms: (3 + 4x)(7 + -1x) = 0 Multiply (3 + 4x) * (7 + -1x) (3(7 + -1x) + 4x * (7 + -1x)) = 0 ((7 * 3 + -1x * 3) + 4x * (7 + -1x)) = 0 ((21 + -3x) + 4x * (7 + -1x)) = 0 (21 + -3x + (7 * 4x + -1x * 4x)) = 0 (21 + -3x + (28x + -4x2)) = 0 Combine like terms: -3x + 28x = 25x (21 + 25x + -4x2) = 0 Solving 21 + 25x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -1x)(3 + 4x) = 0Subproblem 1
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 = 7Subproblem 2
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 = -0.75Solution
x = {7, -0.75}
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