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Simplifying (x + 3)(7x + -1) = 22x + 2x2 Reorder the terms: (3 + x)(7x + -1) = 22x + 2x2 Reorder the terms: (3 + x)(-1 + 7x) = 22x + 2x2 Multiply (3 + x) * (-1 + 7x) (3(-1 + 7x) + x(-1 + 7x)) = 22x + 2x2 ((-1 * 3 + 7x * 3) + x(-1 + 7x)) = 22x + 2x2 ((-3 + 21x) + x(-1 + 7x)) = 22x + 2x2 (-3 + 21x + (-1 * x + 7x * x)) = 22x + 2x2 (-3 + 21x + (-1x + 7x2)) = 22x + 2x2 Combine like terms: 21x + -1x = 20x (-3 + 20x + 7x2) = 22x + 2x2 Solving -3 + 20x + 7x2 = 22x + 2x2 Solving for variable 'x'. Reorder the terms: -3 + 20x + -22x + 7x2 + -2x2 = 22x + 2x2 + -22x + -2x2 Combine like terms: 20x + -22x = -2x -3 + -2x + 7x2 + -2x2 = 22x + 2x2 + -22x + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 -3 + -2x + 5x2 = 22x + 2x2 + -22x + -2x2 Reorder the terms: -3 + -2x + 5x2 = 22x + -22x + 2x2 + -2x2 Combine like terms: 22x + -22x = 0 -3 + -2x + 5x2 = 0 + 2x2 + -2x2 -3 + -2x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + -2x + 5x2 = 0 Factor a trinomial. (-3 + -5x)(1 + -1x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 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 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 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 = {-0.6, 1}
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