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Simplifying -1(x + -3)(2x + -1) = (x + 3)(2x + 1) Reorder the terms: -1(-3 + x)(2x + -1) = (x + 3)(2x + 1) Reorder the terms: -1(-3 + x)(-1 + 2x) = (x + 3)(2x + 1) Multiply (-3 + x) * (-1 + 2x) -1(-3(-1 + 2x) + x(-1 + 2x)) = (x + 3)(2x + 1) -1((-1 * -3 + 2x * -3) + x(-1 + 2x)) = (x + 3)(2x + 1) -1((3 + -6x) + x(-1 + 2x)) = (x + 3)(2x + 1) -1(3 + -6x + (-1 * x + 2x * x)) = (x + 3)(2x + 1) -1(3 + -6x + (-1x + 2x2)) = (x + 3)(2x + 1) Combine like terms: -6x + -1x = -7x -1(3 + -7x + 2x2) = (x + 3)(2x + 1) (3 * -1 + -7x * -1 + 2x2 * -1) = (x + 3)(2x + 1) (-3 + 7x + -2x2) = (x + 3)(2x + 1) Reorder the terms: -3 + 7x + -2x2 = (3 + x)(2x + 1) Reorder the terms: -3 + 7x + -2x2 = (3 + x)(1 + 2x) Multiply (3 + x) * (1 + 2x) -3 + 7x + -2x2 = (3(1 + 2x) + x(1 + 2x)) -3 + 7x + -2x2 = ((1 * 3 + 2x * 3) + x(1 + 2x)) -3 + 7x + -2x2 = ((3 + 6x) + x(1 + 2x)) -3 + 7x + -2x2 = (3 + 6x + (1 * x + 2x * x)) -3 + 7x + -2x2 = (3 + 6x + (1x + 2x2)) Combine like terms: 6x + 1x = 7x -3 + 7x + -2x2 = (3 + 7x + 2x2) Add '-7x' to each side of the equation. -3 + 7x + -7x + -2x2 = 3 + 7x + -7x + 2x2 Combine like terms: 7x + -7x = 0 -3 + 0 + -2x2 = 3 + 7x + -7x + 2x2 -3 + -2x2 = 3 + 7x + -7x + 2x2 Combine like terms: 7x + -7x = 0 -3 + -2x2 = 3 + 0 + 2x2 -3 + -2x2 = 3 + 2x2 Solving -3 + -2x2 = 3 + 2x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x2' to each side of the equation. -3 + -2x2 + -2x2 = 3 + 2x2 + -2x2 Combine like terms: -2x2 + -2x2 = -4x2 -3 + -4x2 = 3 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + -4x2 = 3 + 0 -3 + -4x2 = 3 Add '3' to each side of the equation. -3 + 3 + -4x2 = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -4x2 = 3 + 3 -4x2 = 3 + 3 Combine like terms: 3 + 3 = 6 -4x2 = 6 Divide each side by '-4'. x2 = -1.5 Simplifying x2 = -1.5 Reorder the terms: 1.5 + x2 = -1.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 1.5 + x2 = 0.0 The solution to this equation could not be determined.
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