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Simplifying x(3x + -3) + x(4x + -4) = (7x + 9)(x + -4) Reorder the terms: x(-3 + 3x) + x(4x + -4) = (7x + 9)(x + -4) (-3 * x + 3x * x) + x(4x + -4) = (7x + 9)(x + -4) (-3x + 3x2) + x(4x + -4) = (7x + 9)(x + -4) Reorder the terms: -3x + 3x2 + x(-4 + 4x) = (7x + 9)(x + -4) -3x + 3x2 + (-4 * x + 4x * x) = (7x + 9)(x + -4) -3x + 3x2 + (-4x + 4x2) = (7x + 9)(x + -4) Reorder the terms: -3x + -4x + 3x2 + 4x2 = (7x + 9)(x + -4) Combine like terms: -3x + -4x = -7x -7x + 3x2 + 4x2 = (7x + 9)(x + -4) Combine like terms: 3x2 + 4x2 = 7x2 -7x + 7x2 = (7x + 9)(x + -4) Reorder the terms: -7x + 7x2 = (9 + 7x)(x + -4) Reorder the terms: -7x + 7x2 = (9 + 7x)(-4 + x) Multiply (9 + 7x) * (-4 + x) -7x + 7x2 = (9(-4 + x) + 7x * (-4 + x)) -7x + 7x2 = ((-4 * 9 + x * 9) + 7x * (-4 + x)) -7x + 7x2 = ((-36 + 9x) + 7x * (-4 + x)) -7x + 7x2 = (-36 + 9x + (-4 * 7x + x * 7x)) -7x + 7x2 = (-36 + 9x + (-28x + 7x2)) Combine like terms: 9x + -28x = -19x -7x + 7x2 = (-36 + -19x + 7x2) Add '-7x2' to each side of the equation. -7x + 7x2 + -7x2 = -36 + -19x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -7x + 0 = -36 + -19x + 7x2 + -7x2 -7x = -36 + -19x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -7x = -36 + -19x + 0 -7x = -36 + -19x Solving -7x = -36 + -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 = -36 + -19x + 19x Combine like terms: -7x + 19x = 12x 12x = -36 + -19x + 19x Combine like terms: -19x + 19x = 0 12x = -36 + 0 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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