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Simplifying R * R = ((R + -5)(R + -5)) + 81 Multiply R * R R2 = ((R + -5)(R + -5)) + 81 Reorder the terms: R2 = ((-5 + R)(R + -5)) + 81 Reorder the terms: R2 = ((-5 + R)(-5 + R)) + 81 Multiply (-5 + R) * (-5 + R) R2 = ((-5(-5 + R) + R(-5 + R))) + 81 R2 = (((-5 * -5 + R * -5) + R(-5 + R))) + 81 R2 = (((25 + -5R) + R(-5 + R))) + 81 R2 = ((25 + -5R + (-5 * R + R * R))) + 81 R2 = ((25 + -5R + (-5R + R2))) + 81 Combine like terms: -5R + -5R = -10R R2 = ((25 + -10R + R2)) + 81 R2 = (25 + -10R + R2) + 81 Remove parenthesis around (25 + -10R + R2) R2 = 25 + -10R + R2 + 81 Reorder the terms: R2 = 25 + 81 + -10R + R2 Combine like terms: 25 + 81 = 106 R2 = 106 + -10R + R2 Add '-1R2' to each side of the equation. R2 + -1R2 = 106 + -10R + R2 + -1R2 Combine like terms: R2 + -1R2 = 0 0 = 106 + -10R + R2 + -1R2 Combine like terms: R2 + -1R2 = 0 0 = 106 + -10R + 0 0 = 106 + -10R Solving 0 = 106 + -10R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '10R' to each side of the equation. 0 + 10R = 106 + -10R + 10R Remove the zero: 10R = 106 + -10R + 10R Combine like terms: -10R + 10R = 0 10R = 106 + 0 10R = 106 Divide each side by '10'. R = 10.6 Simplifying R = 10.6
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