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Simplifying (5x + -1)(x + 3) = 9 + -14x Reorder the terms: (-1 + 5x)(x + 3) = 9 + -14x Reorder the terms: (-1 + 5x)(3 + x) = 9 + -14x Multiply (-1 + 5x) * (3 + x) (-1(3 + x) + 5x * (3 + x)) = 9 + -14x ((3 * -1 + x * -1) + 5x * (3 + x)) = 9 + -14x ((-3 + -1x) + 5x * (3 + x)) = 9 + -14x (-3 + -1x + (3 * 5x + x * 5x)) = 9 + -14x (-3 + -1x + (15x + 5x2)) = 9 + -14x Combine like terms: -1x + 15x = 14x (-3 + 14x + 5x2) = 9 + -14x Solving -3 + 14x + 5x2 = 9 + -14x Solving for variable 'x'. Reorder the terms: -3 + -9 + 14x + 14x + 5x2 = 9 + -14x + -9 + 14x Combine like terms: -3 + -9 = -12 -12 + 14x + 14x + 5x2 = 9 + -14x + -9 + 14x Combine like terms: 14x + 14x = 28x -12 + 28x + 5x2 = 9 + -14x + -9 + 14x Reorder the terms: -12 + 28x + 5x2 = 9 + -9 + -14x + 14x Combine like terms: 9 + -9 = 0 -12 + 28x + 5x2 = 0 + -14x + 14x -12 + 28x + 5x2 = -14x + 14x Combine like terms: -14x + 14x = 0 -12 + 28x + 5x2 = 0 Factor a trinomial. (-6 + -1x)(2 + -5x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-6, 0.4}
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