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Simplifying (3x + -7)(4x + -1) = 0 Reorder the terms: (-7 + 3x)(4x + -1) = 0 Reorder the terms: (-7 + 3x)(-1 + 4x) = 0 Multiply (-7 + 3x) * (-1 + 4x) (-7(-1 + 4x) + 3x * (-1 + 4x)) = 0 ((-1 * -7 + 4x * -7) + 3x * (-1 + 4x)) = 0 ((7 + -28x) + 3x * (-1 + 4x)) = 0 (7 + -28x + (-1 * 3x + 4x * 3x)) = 0 (7 + -28x + (-3x + 12x2)) = 0 Combine like terms: -28x + -3x = -31x (7 + -31x + 12x2) = 0 Solving 7 + -31x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -4x)(7 + -3x) = 0Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {0.25, 2.333333333}
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