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Simplifying (2x + -7)(x + 1) = 6x + -19 Reorder the terms: (-7 + 2x)(x + 1) = 6x + -19 Reorder the terms: (-7 + 2x)(1 + x) = 6x + -19 Multiply (-7 + 2x) * (1 + x) (-7(1 + x) + 2x * (1 + x)) = 6x + -19 ((1 * -7 + x * -7) + 2x * (1 + x)) = 6x + -19 ((-7 + -7x) + 2x * (1 + x)) = 6x + -19 (-7 + -7x + (1 * 2x + x * 2x)) = 6x + -19 (-7 + -7x + (2x + 2x2)) = 6x + -19 Combine like terms: -7x + 2x = -5x (-7 + -5x + 2x2) = 6x + -19 Reorder the terms: -7 + -5x + 2x2 = -19 + 6x Solving -7 + -5x + 2x2 = -19 + 6x Solving for variable 'x'. Reorder the terms: -7 + 19 + -5x + -6x + 2x2 = -19 + 6x + 19 + -6x Combine like terms: -7 + 19 = 12 12 + -5x + -6x + 2x2 = -19 + 6x + 19 + -6x Combine like terms: -5x + -6x = -11x 12 + -11x + 2x2 = -19 + 6x + 19 + -6x Reorder the terms: 12 + -11x + 2x2 = -19 + 19 + 6x + -6x Combine like terms: -19 + 19 = 0 12 + -11x + 2x2 = 0 + 6x + -6x 12 + -11x + 2x2 = 6x + -6x Combine like terms: 6x + -6x = 0 12 + -11x + 2x2 = 0 Factor a trinomial. (3 + -2x)(4 + -1x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {1.5, 4}
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