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Simplifying 10r2 + 31rs + 15s2 = 10r2 + 25rs + 6rs + 15s2 Reorder the terms: 31rs + 10r2 + 15s2 = 10r2 + 25rs + 6rs + 15s2 Reorder the terms: 31rs + 10r2 + 15s2 = 25rs + 6rs + 10r2 + 15s2 Combine like terms: 25rs + 6rs = 31rs 31rs + 10r2 + 15s2 = 31rs + 10r2 + 15s2 Add '-31rs' to each side of the equation. 31rs + 10r2 + -31rs + 15s2 = 31rs + 10r2 + -31rs + 15s2 Reorder the terms: 31rs + -31rs + 10r2 + 15s2 = 31rs + 10r2 + -31rs + 15s2 Combine like terms: 31rs + -31rs = 0 0 + 10r2 + 15s2 = 31rs + 10r2 + -31rs + 15s2 10r2 + 15s2 = 31rs + 10r2 + -31rs + 15s2 Reorder the terms: 10r2 + 15s2 = 31rs + -31rs + 10r2 + 15s2 Combine like terms: 31rs + -31rs = 0 10r2 + 15s2 = 0 + 10r2 + 15s2 10r2 + 15s2 = 10r2 + 15s2 Add '-10r2' to each side of the equation. 10r2 + -10r2 + 15s2 = 10r2 + -10r2 + 15s2 Combine like terms: 10r2 + -10r2 = 0 0 + 15s2 = 10r2 + -10r2 + 15s2 15s2 = 10r2 + -10r2 + 15s2 Combine like terms: 10r2 + -10r2 = 0 15s2 = 0 + 15s2 15s2 = 15s2 Add '-15s2' to each side of the equation. 15s2 + -15s2 = 15s2 + -15s2 Combine like terms: 15s2 + -15s2 = 0 0 = 15s2 + -15s2 Combine like terms: 15s2 + -15s2 = 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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