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Simplifying (x + -95)(3x + -95) = 0 Reorder the terms: (-95 + x)(3x + -95) = 0 Reorder the terms: (-95 + x)(-95 + 3x) = 0 Multiply (-95 + x) * (-95 + 3x) (-95(-95 + 3x) + x(-95 + 3x)) = 0 ((-95 * -95 + 3x * -95) + x(-95 + 3x)) = 0 ((9025 + -285x) + x(-95 + 3x)) = 0 (9025 + -285x + (-95 * x + 3x * x)) = 0 (9025 + -285x + (-95x + 3x2)) = 0 Combine like terms: -285x + -95x = -380x (9025 + -380x + 3x2) = 0 Solving 9025 + -380x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (95 + -3x)(95 + -1x) = 0Subproblem 1
Set the factor '(95 + -3x)' equal to zero and attempt to solve: Simplifying 95 + -3x = 0 Solving 95 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -3x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -3x = 0 + -95 -3x = 0 + -95 Combine like terms: 0 + -95 = -95 -3x = -95 Divide each side by '-3'. x = 31.66666667 Simplifying x = 31.66666667Subproblem 2
Set the factor '(95 + -1x)' equal to zero and attempt to solve: Simplifying 95 + -1x = 0 Solving 95 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -1x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -1x = 0 + -95 -1x = 0 + -95 Combine like terms: 0 + -95 = -95 -1x = -95 Divide each side by '-1'. x = 95 Simplifying x = 95Solution
x = {31.66666667, 95}
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