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Simplifying 2v4 + 15v3 + -27v2 = v2(2v2 + 15v + -27) Reorder the terms: -27v2 + 15v3 + 2v4 = v2(2v2 + 15v + -27) Reorder the terms: -27v2 + 15v3 + 2v4 = v2(-27 + 15v + 2v2) -27v2 + 15v3 + 2v4 = (-27 * v2 + 15v * v2 + 2v2 * v2) -27v2 + 15v3 + 2v4 = (-27v2 + 15v3 + 2v4) Add '27v2' to each side of the equation. -27v2 + 15v3 + 27v2 + 2v4 = -27v2 + 15v3 + 27v2 + 2v4 Reorder the terms: -27v2 + 27v2 + 15v3 + 2v4 = -27v2 + 15v3 + 27v2 + 2v4 Combine like terms: -27v2 + 27v2 = 0 0 + 15v3 + 2v4 = -27v2 + 15v3 + 27v2 + 2v4 15v3 + 2v4 = -27v2 + 15v3 + 27v2 + 2v4 Reorder the terms: 15v3 + 2v4 = -27v2 + 27v2 + 15v3 + 2v4 Combine like terms: -27v2 + 27v2 = 0 15v3 + 2v4 = 0 + 15v3 + 2v4 15v3 + 2v4 = 15v3 + 2v4 Add '-15v3' to each side of the equation. 15v3 + -15v3 + 2v4 = 15v3 + -15v3 + 2v4 Combine like terms: 15v3 + -15v3 = 0 0 + 2v4 = 15v3 + -15v3 + 2v4 2v4 = 15v3 + -15v3 + 2v4 Combine like terms: 15v3 + -15v3 = 0 2v4 = 0 + 2v4 2v4 = 2v4 Add '-2v4' to each side of the equation. 2v4 + -2v4 = 2v4 + -2v4 Combine like terms: 2v4 + -2v4 = 0 0 = 2v4 + -2v4 Combine like terms: 2v4 + -2v4 = 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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