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Simplifying 2(q + 2) + q2 = q(q + 2) + 4 Reorder the terms: 2(2 + q) + q2 = q(q + 2) + 4 (2 * 2 + q * 2) + q2 = q(q + 2) + 4 (4 + 2q) + q2 = q(q + 2) + 4 Reorder the terms: 4 + 2q + q2 = q(2 + q) + 4 4 + 2q + q2 = (2 * q + q * q) + 4 4 + 2q + q2 = (2q + q2) + 4 Reorder the terms: 4 + 2q + q2 = 4 + 2q + q2 Add '-4' to each side of the equation. 4 + 2q + -4 + q2 = 4 + 2q + -4 + q2 Reorder the terms: 4 + -4 + 2q + q2 = 4 + 2q + -4 + q2 Combine like terms: 4 + -4 = 0 0 + 2q + q2 = 4 + 2q + -4 + q2 2q + q2 = 4 + 2q + -4 + q2 Reorder the terms: 2q + q2 = 4 + -4 + 2q + q2 Combine like terms: 4 + -4 = 0 2q + q2 = 0 + 2q + q2 2q + q2 = 2q + q2 Add '-2q' to each side of the equation. 2q + -2q + q2 = 2q + -2q + q2 Combine like terms: 2q + -2q = 0 0 + q2 = 2q + -2q + q2 q2 = 2q + -2q + q2 Combine like terms: 2q + -2q = 0 q2 = 0 + q2 q2 = q2 Add '-1q2' to each side of the equation. q2 + -1q2 = q2 + -1q2 Combine like terms: q2 + -1q2 = 0 0 = q2 + -1q2 Combine like terms: q2 + -1q2 = 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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