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Simplifying (3x + 4)(x + -4) = (3x + -7)(x + -4) Reorder the terms: (4 + 3x)(x + -4) = (3x + -7)(x + -4) Reorder the terms: (4 + 3x)(-4 + x) = (3x + -7)(x + -4) Multiply (4 + 3x) * (-4 + x) (4(-4 + x) + 3x * (-4 + x)) = (3x + -7)(x + -4) ((-4 * 4 + x * 4) + 3x * (-4 + x)) = (3x + -7)(x + -4) ((-16 + 4x) + 3x * (-4 + x)) = (3x + -7)(x + -4) (-16 + 4x + (-4 * 3x + x * 3x)) = (3x + -7)(x + -4) (-16 + 4x + (-12x + 3x2)) = (3x + -7)(x + -4) Combine like terms: 4x + -12x = -8x (-16 + -8x + 3x2) = (3x + -7)(x + -4) Reorder the terms: -16 + -8x + 3x2 = (-7 + 3x)(x + -4) Reorder the terms: -16 + -8x + 3x2 = (-7 + 3x)(-4 + x) Multiply (-7 + 3x) * (-4 + x) -16 + -8x + 3x2 = (-7(-4 + x) + 3x * (-4 + x)) -16 + -8x + 3x2 = ((-4 * -7 + x * -7) + 3x * (-4 + x)) -16 + -8x + 3x2 = ((28 + -7x) + 3x * (-4 + x)) -16 + -8x + 3x2 = (28 + -7x + (-4 * 3x + x * 3x)) -16 + -8x + 3x2 = (28 + -7x + (-12x + 3x2)) Combine like terms: -7x + -12x = -19x -16 + -8x + 3x2 = (28 + -19x + 3x2) Add '-3x2' to each side of the equation. -16 + -8x + 3x2 + -3x2 = 28 + -19x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -16 + -8x + 0 = 28 + -19x + 3x2 + -3x2 -16 + -8x = 28 + -19x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -16 + -8x = 28 + -19x + 0 -16 + -8x = 28 + -19x Solving -16 + -8x = 28 + -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. -16 + -8x + 19x = 28 + -19x + 19x Combine like terms: -8x + 19x = 11x -16 + 11x = 28 + -19x + 19x Combine like terms: -19x + 19x = 0 -16 + 11x = 28 + 0 -16 + 11x = 28 Add '16' to each side of the equation. -16 + 16 + 11x = 28 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = 28 + 16 11x = 28 + 16 Combine like terms: 28 + 16 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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