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Simplifying (x + -16)(-15 + 14x) = 0 Reorder the terms: (-16 + x)(-15 + 14x) = 0 Multiply (-16 + x) * (-15 + 14x) (-16(-15 + 14x) + x(-15 + 14x)) = 0 ((-15 * -16 + 14x * -16) + x(-15 + 14x)) = 0 ((240 + -224x) + x(-15 + 14x)) = 0 (240 + -224x + (-15 * x + 14x * x)) = 0 (240 + -224x + (-15x + 14x2)) = 0 Combine like terms: -224x + -15x = -239x (240 + -239x + 14x2) = 0 Solving 240 + -239x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + -14x)(16 + -1x) = 0Subproblem 1
Set the factor '(15 + -14x)' equal to zero and attempt to solve: Simplifying 15 + -14x = 0 Solving 15 + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -14x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = 0 + -15 -14x = 0 + -15 Combine like terms: 0 + -15 = -15 -14x = -15 Divide each side by '-14'. x = 1.071428571 Simplifying x = 1.071428571Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {1.071428571, 16}
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