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Simplifying (3x + -4)(x + 1) + -3x2 = 4 Reorder the terms: (-4 + 3x)(x + 1) + -3x2 = 4 Reorder the terms: (-4 + 3x)(1 + x) + -3x2 = 4 Multiply (-4 + 3x) * (1 + x) (-4(1 + x) + 3x * (1 + x)) + -3x2 = 4 ((1 * -4 + x * -4) + 3x * (1 + x)) + -3x2 = 4 ((-4 + -4x) + 3x * (1 + x)) + -3x2 = 4 (-4 + -4x + (1 * 3x + x * 3x)) + -3x2 = 4 (-4 + -4x + (3x + 3x2)) + -3x2 = 4 Combine like terms: -4x + 3x = -1x (-4 + -1x + 3x2) + -3x2 = 4 Combine like terms: 3x2 + -3x2 = 0 -4 + -1x + 0 = 4 -4 + -1x = 4 Solving -4 + -1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 4 + 4 -1x = 4 + 4 Combine like terms: 4 + 4 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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