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Simplifying 2x(x + -1) + -4 = (2x + -3)(x + 1) + -2(3x + 2) Reorder the terms: 2x(-1 + x) + -4 = (2x + -3)(x + 1) + -2(3x + 2) (-1 * 2x + x * 2x) + -4 = (2x + -3)(x + 1) + -2(3x + 2) (-2x + 2x2) + -4 = (2x + -3)(x + 1) + -2(3x + 2) Reorder the terms: -4 + -2x + 2x2 = (2x + -3)(x + 1) + -2(3x + 2) Reorder the terms: -4 + -2x + 2x2 = (-3 + 2x)(x + 1) + -2(3x + 2) Reorder the terms: -4 + -2x + 2x2 = (-3 + 2x)(1 + x) + -2(3x + 2) Multiply (-3 + 2x) * (1 + x) -4 + -2x + 2x2 = (-3(1 + x) + 2x * (1 + x)) + -2(3x + 2) -4 + -2x + 2x2 = ((1 * -3 + x * -3) + 2x * (1 + x)) + -2(3x + 2) -4 + -2x + 2x2 = ((-3 + -3x) + 2x * (1 + x)) + -2(3x + 2) -4 + -2x + 2x2 = (-3 + -3x + (1 * 2x + x * 2x)) + -2(3x + 2) -4 + -2x + 2x2 = (-3 + -3x + (2x + 2x2)) + -2(3x + 2) Combine like terms: -3x + 2x = -1x -4 + -2x + 2x2 = (-3 + -1x + 2x2) + -2(3x + 2) Reorder the terms: -4 + -2x + 2x2 = -3 + -1x + 2x2 + -2(2 + 3x) -4 + -2x + 2x2 = -3 + -1x + 2x2 + (2 * -2 + 3x * -2) -4 + -2x + 2x2 = -3 + -1x + 2x2 + (-4 + -6x) Reorder the terms: -4 + -2x + 2x2 = -3 + -4 + -1x + -6x + 2x2 Combine like terms: -3 + -4 = -7 -4 + -2x + 2x2 = -7 + -1x + -6x + 2x2 Combine like terms: -1x + -6x = -7x -4 + -2x + 2x2 = -7 + -7x + 2x2 Add '-2x2' to each side of the equation. -4 + -2x + 2x2 + -2x2 = -7 + -7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4 + -2x + 0 = -7 + -7x + 2x2 + -2x2 -4 + -2x = -7 + -7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4 + -2x = -7 + -7x + 0 -4 + -2x = -7 + -7x Solving -4 + -2x = -7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4 + -2x + 7x = -7 + -7x + 7x Combine like terms: -2x + 7x = 5x -4 + 5x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 5x = -7 + 0 -4 + 5x = -7 Add '4' to each side of the equation. -4 + 4 + 5x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = -7 + 4 5x = -7 + 4 Combine like terms: -7 + 4 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6
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