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Simplifying (7x + 4)(5x + -19) = 0 Reorder the terms: (4 + 7x)(5x + -19) = 0 Reorder the terms: (4 + 7x)(-19 + 5x) = 0 Multiply (4 + 7x) * (-19 + 5x) (4(-19 + 5x) + 7x * (-19 + 5x)) = 0 ((-19 * 4 + 5x * 4) + 7x * (-19 + 5x)) = 0 ((-76 + 20x) + 7x * (-19 + 5x)) = 0 (-76 + 20x + (-19 * 7x + 5x * 7x)) = 0 (-76 + 20x + (-133x + 35x2)) = 0 Combine like terms: 20x + -133x = -113x (-76 + -113x + 35x2) = 0 Solving -76 + -113x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -7x)(19 + -5x) = 0Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
Set the factor '(19 + -5x)' equal to zero and attempt to solve: Simplifying 19 + -5x = 0 Solving 19 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -5x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = 0 + -19 -5x = 0 + -19 Combine like terms: 0 + -19 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8Solution
x = {-0.5714285714, 3.8}
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