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Simplifying (x + 4)(x + -3) = x(x + -1) Reorder the terms: (4 + x)(x + -3) = x(x + -1) Reorder the terms: (4 + x)(-3 + x) = x(x + -1) Multiply (4 + x) * (-3 + x) (4(-3 + x) + x(-3 + x)) = x(x + -1) ((-3 * 4 + x * 4) + x(-3 + x)) = x(x + -1) ((-12 + 4x) + x(-3 + x)) = x(x + -1) (-12 + 4x + (-3 * x + x * x)) = x(x + -1) (-12 + 4x + (-3x + x2)) = x(x + -1) Combine like terms: 4x + -3x = 1x (-12 + 1x + x2) = x(x + -1) Reorder the terms: -12 + 1x + x2 = x(-1 + x) -12 + 1x + x2 = (-1 * x + x * x) -12 + 1x + x2 = (-1x + x2) Add '-1x2' to each side of the equation. -12 + 1x + x2 + -1x2 = -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + 1x + 0 = -1x + x2 + -1x2 -12 + 1x = -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + 1x = -1x + 0 -12 + 1x = -1x Solving -12 + 1x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 1x + x = -1x + x Combine like terms: 1x + x = 2x -12 + 2x = -1x + x Combine like terms: -1x + x = 0 -12 + 2x = 0 Add '12' to each side of the equation. -12 + 12 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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