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Simplifying (x + -3)(x + -14) = 0 Reorder the terms: (-3 + x)(x + -14) = 0 Reorder the terms: (-3 + x)(-14 + x) = 0 Multiply (-3 + x) * (-14 + x) (-3(-14 + x) + x(-14 + x)) = 0 ((-14 * -3 + x * -3) + x(-14 + x)) = 0 ((42 + -3x) + x(-14 + x)) = 0 (42 + -3x + (-14 * x + x * x)) = 0 (42 + -3x + (-14x + x2)) = 0 Combine like terms: -3x + -14x = -17x (42 + -17x + x2) = 0 Solving 42 + -17x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {3, 14}
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