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Simplifying (x + -7)(4x + 3) = 0 Reorder the terms: (-7 + x)(4x + 3) = 0 Reorder the terms: (-7 + x)(3 + 4x) = 0 Multiply (-7 + x) * (3 + 4x) (-7(3 + 4x) + x(3 + 4x)) = 0 ((3 * -7 + 4x * -7) + x(3 + 4x)) = 0 ((-21 + -28x) + x(3 + 4x)) = 0 (-21 + -28x + (3 * x + 4x * x)) = 0 (-21 + -28x + (3x + 4x2)) = 0 Combine like terms: -28x + 3x = -25x (-21 + -25x + 4x2) = 0 Solving -21 + -25x + 4x2 = 0 Solving for variable 'x'. 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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