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Simplifying (4x + -7)(x + -5) = 0 Reorder the terms: (-7 + 4x)(x + -5) = 0 Reorder the terms: (-7 + 4x)(-5 + x) = 0 Multiply (-7 + 4x) * (-5 + x) (-7(-5 + x) + 4x * (-5 + x)) = 0 ((-5 * -7 + x * -7) + 4x * (-5 + x)) = 0 ((35 + -7x) + 4x * (-5 + x)) = 0 (35 + -7x + (-5 * 4x + x * 4x)) = 0 (35 + -7x + (-20x + 4x2)) = 0 Combine like terms: -7x + -20x = -27x (35 + -27x + 4x2) = 0 Solving 35 + -27x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -4x)(5 + -1x) = 0Subproblem 1
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 = 1.75Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {1.75, 5}
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