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Simplifying (x + 3)(5x + -7) = 0 Reorder the terms: (3 + x)(5x + -7) = 0 Reorder the terms: (3 + x)(-7 + 5x) = 0 Multiply (3 + x) * (-7 + 5x) (3(-7 + 5x) + x(-7 + 5x)) = 0 ((-7 * 3 + 5x * 3) + x(-7 + 5x)) = 0 ((-21 + 15x) + x(-7 + 5x)) = 0 (-21 + 15x + (-7 * x + 5x * x)) = 0 (-21 + 15x + (-7x + 5x2)) = 0 Combine like terms: 15x + -7x = 8x (-21 + 8x + 5x2) = 0 Solving -21 + 8x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(7 + -5x) = 0Subproblem 1
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 = -3Subproblem 2
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 = 1.4Solution
x = {-3, 1.4}
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