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Simplifying (4x + -7)(2x + 13) = 0 Reorder the terms: (-7 + 4x)(2x + 13) = 0 Reorder the terms: (-7 + 4x)(13 + 2x) = 0 Multiply (-7 + 4x) * (13 + 2x) (-7(13 + 2x) + 4x * (13 + 2x)) = 0 ((13 * -7 + 2x * -7) + 4x * (13 + 2x)) = 0 ((-91 + -14x) + 4x * (13 + 2x)) = 0 (-91 + -14x + (13 * 4x + 2x * 4x)) = 0 (-91 + -14x + (52x + 8x2)) = 0 Combine like terms: -14x + 52x = 38x (-91 + 38x + 8x2) = 0 Solving -91 + 38x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-13 + -2x)(7 + -4x) = 0Subproblem 1
Set the factor '(-13 + -2x)' equal to zero and attempt to solve: Simplifying -13 + -2x = 0 Solving -13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 0 + 13 -2x = 0 + 13 Combine like terms: 0 + 13 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5Subproblem 2
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 = 1.75Solution
x = {-6.5, 1.75}
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