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Simplifying (4x + -7)(4x + -3) = 0 Reorder the terms: (-7 + 4x)(4x + -3) = 0 Reorder the terms: (-7 + 4x)(-3 + 4x) = 0 Multiply (-7 + 4x) * (-3 + 4x) (-7(-3 + 4x) + 4x * (-3 + 4x)) = 0 ((-3 * -7 + 4x * -7) + 4x * (-3 + 4x)) = 0 ((21 + -28x) + 4x * (-3 + 4x)) = 0 (21 + -28x + (-3 * 4x + 4x * 4x)) = 0 (21 + -28x + (-12x + 16x2)) = 0 Combine like terms: -28x + -12x = -40x (21 + -40x + 16x2) = 0 Solving 21 + -40x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -4x)(7 + -4x) = 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 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {0.75, 1.75}
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