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Simplifying 12r2 + 7rs + -10s2 = 12r2 + -8rs + 15rs + -10s2 Reorder the terms: 7rs + 12r2 + -10s2 = 12r2 + -8rs + 15rs + -10s2 Reorder the terms: 7rs + 12r2 + -10s2 = -8rs + 15rs + 12r2 + -10s2 Combine like terms: -8rs + 15rs = 7rs 7rs + 12r2 + -10s2 = 7rs + 12r2 + -10s2 Add '-7rs' to each side of the equation. 7rs + 12r2 + -7rs + -10s2 = 7rs + 12r2 + -7rs + -10s2 Reorder the terms: 7rs + -7rs + 12r2 + -10s2 = 7rs + 12r2 + -7rs + -10s2 Combine like terms: 7rs + -7rs = 0 0 + 12r2 + -10s2 = 7rs + 12r2 + -7rs + -10s2 12r2 + -10s2 = 7rs + 12r2 + -7rs + -10s2 Reorder the terms: 12r2 + -10s2 = 7rs + -7rs + 12r2 + -10s2 Combine like terms: 7rs + -7rs = 0 12r2 + -10s2 = 0 + 12r2 + -10s2 12r2 + -10s2 = 12r2 + -10s2 Add '-12r2' to each side of the equation. 12r2 + -12r2 + -10s2 = 12r2 + -12r2 + -10s2 Combine like terms: 12r2 + -12r2 = 0 0 + -10s2 = 12r2 + -12r2 + -10s2 -10s2 = 12r2 + -12r2 + -10s2 Combine like terms: 12r2 + -12r2 = 0 -10s2 = 0 + -10s2 -10s2 = -10s2 Add '10s2' to each side of the equation. -10s2 + 10s2 = -10s2 + 10s2 Combine like terms: -10s2 + 10s2 = 0 0 = -10s2 + 10s2 Combine like terms: -10s2 + 10s2 = 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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