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Simplifying 9x4 + -29x2 + 20 = 20 Reorder the terms: 20 + -29x2 + 9x4 = 20 Add '-20' to each side of the equation. 20 + -29x2 + -20 + 9x4 = 20 + -20 Reorder the terms: 20 + -20 + -29x2 + 9x4 = 20 + -20 Combine like terms: 20 + -20 = 0 0 + -29x2 + 9x4 = 20 + -20 -29x2 + 9x4 = 20 + -20 Combine like terms: 20 + -20 = 0 -29x2 + 9x4 = 0 Solving -29x2 + 9x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-29 + 9x2) = 0Subproblem 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 '(-29 + 9x2)' equal to zero and attempt to solve: Simplifying -29 + 9x2 = 0 Solving -29 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 9x2 = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 9x2 = 0 + 29 9x2 = 0 + 29 Combine like terms: 0 + 29 = 29 9x2 = 29 Divide each side by '9'. x2 = 3.222222222 Simplifying x2 = 3.222222222 Take the square root of each side: x = {-1.795054936, 1.795054936}Solution
x = {0, -1.795054936, 1.795054936}
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