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Simplifying (14x2 + 7x) * 9x2 = 0 Reorder the terms: (7x + 14x2) * 9x2 = 0 Reorder the terms for easier multiplication: 9x2(7x + 14x2) = 0 (7x * 9x2 + 14x2 * 9x2) = 0 (63x3 + 126x4) = 0 Solving 63x3 + 126x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '63x3'. 63x3(1 + 2x) = 0 Ignore the factor 63.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-0.5}
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