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Simplifying x(4x + -4) + x(2x + -3) = (6x + 7)(x + 2) Reorder the terms: x(-4 + 4x) + x(2x + -3) = (6x + 7)(x + 2) (-4 * x + 4x * x) + x(2x + -3) = (6x + 7)(x + 2) (-4x + 4x2) + x(2x + -3) = (6x + 7)(x + 2) Reorder the terms: -4x + 4x2 + x(-3 + 2x) = (6x + 7)(x + 2) -4x + 4x2 + (-3 * x + 2x * x) = (6x + 7)(x + 2) -4x + 4x2 + (-3x + 2x2) = (6x + 7)(x + 2) Reorder the terms: -4x + -3x + 4x2 + 2x2 = (6x + 7)(x + 2) Combine like terms: -4x + -3x = -7x -7x + 4x2 + 2x2 = (6x + 7)(x + 2) Combine like terms: 4x2 + 2x2 = 6x2 -7x + 6x2 = (6x + 7)(x + 2) Reorder the terms: -7x + 6x2 = (7 + 6x)(x + 2) Reorder the terms: -7x + 6x2 = (7 + 6x)(2 + x) Multiply (7 + 6x) * (2 + x) -7x + 6x2 = (7(2 + x) + 6x * (2 + x)) -7x + 6x2 = ((2 * 7 + x * 7) + 6x * (2 + x)) -7x + 6x2 = ((14 + 7x) + 6x * (2 + x)) -7x + 6x2 = (14 + 7x + (2 * 6x + x * 6x)) -7x + 6x2 = (14 + 7x + (12x + 6x2)) Combine like terms: 7x + 12x = 19x -7x + 6x2 = (14 + 19x + 6x2) Add '-6x2' to each side of the equation. -7x + 6x2 + -6x2 = 14 + 19x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -7x + 0 = 14 + 19x + 6x2 + -6x2 -7x = 14 + 19x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -7x = 14 + 19x + 0 -7x = 14 + 19x Solving -7x = 14 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -7x + -19x = 14 + 19x + -19x Combine like terms: -7x + -19x = -26x -26x = 14 + 19x + -19x Combine like terms: 19x + -19x = 0 -26x = 14 + 0 -26x = 14 Divide each side by '-26'. x = -0.5384615385 Simplifying x = -0.5384615385
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