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Simplifying (5x + 127)(x + -13) = 0 Reorder the terms: (127 + 5x)(x + -13) = 0 Reorder the terms: (127 + 5x)(-13 + x) = 0 Multiply (127 + 5x) * (-13 + x) (127(-13 + x) + 5x * (-13 + x)) = 0 ((-13 * 127 + x * 127) + 5x * (-13 + x)) = 0 ((-1651 + 127x) + 5x * (-13 + x)) = 0 (-1651 + 127x + (-13 * 5x + x * 5x)) = 0 (-1651 + 127x + (-65x + 5x2)) = 0 Combine like terms: 127x + -65x = 62x (-1651 + 62x + 5x2) = 0 Solving -1651 + 62x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-127 + -5x)(13 + -1x) = 0Subproblem 1
Set the factor '(-127 + -5x)' equal to zero and attempt to solve: Simplifying -127 + -5x = 0 Solving -127 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '127' to each side of the equation. -127 + 127 + -5x = 0 + 127 Combine like terms: -127 + 127 = 0 0 + -5x = 0 + 127 -5x = 0 + 127 Combine like terms: 0 + 127 = 127 -5x = 127 Divide each side by '-5'. x = -25.4 Simplifying x = -25.4Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 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 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-25.4, 13}
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