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Simplifying 3x2 + 3x + -36 = 3(x + -3)(x + 4) Reorder the terms: -36 + 3x + 3x2 = 3(x + -3)(x + 4) Reorder the terms: -36 + 3x + 3x2 = 3(-3 + x)(x + 4) Reorder the terms: -36 + 3x + 3x2 = 3(-3 + x)(4 + x) Multiply (-3 + x) * (4 + x) -36 + 3x + 3x2 = 3(-3(4 + x) + x(4 + x)) -36 + 3x + 3x2 = 3((4 * -3 + x * -3) + x(4 + x)) -36 + 3x + 3x2 = 3((-12 + -3x) + x(4 + x)) -36 + 3x + 3x2 = 3(-12 + -3x + (4 * x + x * x)) -36 + 3x + 3x2 = 3(-12 + -3x + (4x + x2)) Combine like terms: -3x + 4x = 1x -36 + 3x + 3x2 = 3(-12 + 1x + x2) -36 + 3x + 3x2 = (-12 * 3 + 1x * 3 + x2 * 3) -36 + 3x + 3x2 = (-36 + 3x + 3x2) Add '36' to each side of the equation. -36 + 3x + 36 + 3x2 = -36 + 3x + 36 + 3x2 Reorder the terms: -36 + 36 + 3x + 3x2 = -36 + 3x + 36 + 3x2 Combine like terms: -36 + 36 = 0 0 + 3x + 3x2 = -36 + 3x + 36 + 3x2 3x + 3x2 = -36 + 3x + 36 + 3x2 Reorder the terms: 3x + 3x2 = -36 + 36 + 3x + 3x2 Combine like terms: -36 + 36 = 0 3x + 3x2 = 0 + 3x + 3x2 3x + 3x2 = 3x + 3x2 Add '-3x' to each side of the equation. 3x + -3x + 3x2 = 3x + -3x + 3x2 Combine like terms: 3x + -3x = 0 0 + 3x2 = 3x + -3x + 3x2 3x2 = 3x + -3x + 3x2 Combine like terms: 3x + -3x = 0 3x2 = 0 + 3x2 3x2 = 3x2 Add '-3x2' to each side of the equation. 3x2 + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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