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Simplifying (x + -3)(x + 4) = x2 + x + 12 Reorder the terms: (-3 + x)(x + 4) = x2 + x + 12 Reorder the terms: (-3 + x)(4 + x) = x2 + x + 12 Multiply (-3 + x) * (4 + x) (-3(4 + x) + x(4 + x)) = x2 + x + 12 ((4 * -3 + x * -3) + x(4 + x)) = x2 + x + 12 ((-12 + -3x) + x(4 + x)) = x2 + x + 12 (-12 + -3x + (4 * x + x * x)) = x2 + x + 12 (-12 + -3x + (4x + x2)) = x2 + x + 12 Combine like terms: -3x + 4x = 1x (-12 + 1x + x2) = x2 + x + 12 Reorder the terms: -12 + 1x + x2 = 12 + x + x2 Add '-1x2' to each side of the equation. -12 + 1x + x2 + -1x2 = 12 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + 1x + 0 = 12 + x + x2 + -1x2 -12 + 1x = 12 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + 1x = 12 + x + 0 -12 + 1x = 12 + x Solving -12 + 1x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 1x + -1x = 12 + x + -1x Combine like terms: 1x + -1x = 0 -12 + 0 = 12 + x + -1x -12 = 12 + x + -1x Combine like terms: x + -1x = 0 -12 = 12 + 0 -12 = 12 Add '12' to each side of the equation. -12 + 12 = 12 + 12 Combine like terms: -12 + 12 = 0 0 = 12 + 12 Combine like terms: 12 + 12 = 24 0 = 24 Simplifying 0 = 24 Combine like terms: 0 + -24 = -24 -24 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 = 0 The solution to this equation could not be determined.
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