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Simplifying (5x + -7)(x + -3) = 0 Reorder the terms: (-7 + 5x)(x + -3) = 0 Reorder the terms: (-7 + 5x)(-3 + x) = 0 Multiply (-7 + 5x) * (-3 + x) (-7(-3 + x) + 5x * (-3 + x)) = 0 ((-3 * -7 + x * -7) + 5x * (-3 + x)) = 0 ((21 + -7x) + 5x * (-3 + x)) = 0 (21 + -7x + (-3 * 5x + x * 5x)) = 0 (21 + -7x + (-15x + 5x2)) = 0 Combine like terms: -7x + -15x = -22x (21 + -22x + 5x2) = 0 Solving 21 + -22x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {1.4, 3}
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