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Simplifying (x + 2)(3x + -1) = 10x + -4x2 Reorder the terms: (2 + x)(3x + -1) = 10x + -4x2 Reorder the terms: (2 + x)(-1 + 3x) = 10x + -4x2 Multiply (2 + x) * (-1 + 3x) (2(-1 + 3x) + x(-1 + 3x)) = 10x + -4x2 ((-1 * 2 + 3x * 2) + x(-1 + 3x)) = 10x + -4x2 ((-2 + 6x) + x(-1 + 3x)) = 10x + -4x2 (-2 + 6x + (-1 * x + 3x * x)) = 10x + -4x2 (-2 + 6x + (-1x + 3x2)) = 10x + -4x2 Combine like terms: 6x + -1x = 5x (-2 + 5x + 3x2) = 10x + -4x2 Solving -2 + 5x + 3x2 = 10x + -4x2 Solving for variable 'x'. Reorder the terms: -2 + 5x + -10x + 3x2 + 4x2 = 10x + -4x2 + -10x + 4x2 Combine like terms: 5x + -10x = -5x -2 + -5x + 3x2 + 4x2 = 10x + -4x2 + -10x + 4x2 Combine like terms: 3x2 + 4x2 = 7x2 -2 + -5x + 7x2 = 10x + -4x2 + -10x + 4x2 Reorder the terms: -2 + -5x + 7x2 = 10x + -10x + -4x2 + 4x2 Combine like terms: 10x + -10x = 0 -2 + -5x + 7x2 = 0 + -4x2 + 4x2 -2 + -5x + 7x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -2 + -5x + 7x2 = 0 Factor a trinomial. (-2 + -7x)(1 + -1x) = 0Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve: Simplifying -2 + -7x = 0 Solving -2 + -7x = 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 + -7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 0 + 2 -7x = 0 + 2 Combine like terms: 0 + 2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.2857142857, 1}
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