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Simplifying 121x2 + 5 = 2x3 + -25x2 + 5 Reorder the terms: 5 + 121x2 = 2x3 + -25x2 + 5 Reorder the terms: 5 + 121x2 = 5 + -25x2 + 2x3 Add '-5' to each side of the equation. 5 + -5 + 121x2 = 5 + -25x2 + -5 + 2x3 Combine like terms: 5 + -5 = 0 0 + 121x2 = 5 + -25x2 + -5 + 2x3 121x2 = 5 + -25x2 + -5 + 2x3 Reorder the terms: 121x2 = 5 + -5 + -25x2 + 2x3 Combine like terms: 5 + -5 = 0 121x2 = 0 + -25x2 + 2x3 121x2 = -25x2 + 2x3 Solving 121x2 = -25x2 + 2x3 Solving for variable 'x'. Combine like terms: 121x2 + 25x2 = 146x2 146x2 + -2x3 = -25x2 + 2x3 + 25x2 + -2x3 Reorder the terms: 146x2 + -2x3 = -25x2 + 25x2 + 2x3 + -2x3 Combine like terms: -25x2 + 25x2 = 0 146x2 + -2x3 = 0 + 2x3 + -2x3 146x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 146x2 + -2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(73 + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(73 + -1x)' equal to zero and attempt to solve: Simplifying 73 + -1x = 0 Solving 73 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-73' to each side of the equation. 73 + -73 + -1x = 0 + -73 Combine like terms: 73 + -73 = 0 0 + -1x = 0 + -73 -1x = 0 + -73 Combine like terms: 0 + -73 = -73 -1x = -73 Divide each side by '-1'. x = 73 Simplifying x = 73Solution
x = {0, 73}
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