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Simplifying (7x + 19)(2x + -1) = 0 Reorder the terms: (19 + 7x)(2x + -1) = 0 Reorder the terms: (19 + 7x)(-1 + 2x) = 0 Multiply (19 + 7x) * (-1 + 2x) (19(-1 + 2x) + 7x * (-1 + 2x)) = 0 ((-1 * 19 + 2x * 19) + 7x * (-1 + 2x)) = 0 ((-19 + 38x) + 7x * (-1 + 2x)) = 0 (-19 + 38x + (-1 * 7x + 2x * 7x)) = 0 (-19 + 38x + (-7x + 14x2)) = 0 Combine like terms: 38x + -7x = 31x (-19 + 31x + 14x2) = 0 Solving -19 + 31x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (-19 + -7x)(1 + -2x) = 0Subproblem 1
Set the factor '(-19 + -7x)' equal to zero and attempt to solve: Simplifying -19 + -7x = 0 Solving -19 + -7x = 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 + -7x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -7x = 0 + 19 -7x = 0 + 19 Combine like terms: 0 + 19 = 19 -7x = 19 Divide each side by '-7'. x = -2.714285714 Simplifying x = -2.714285714Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-2.714285714, 0.5}
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