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Simplifying 10x(x) * 4x + 1(x) = 0 Reorder the terms for easier multiplication: 10 * 4x * x * x + 1(x) = 0 Multiply 10 * 4 40x * x * x + 1(x) = 0 Multiply x * x 40x2 * x + 1(x) = 0 Multiply x2 * x 40x3 + 1(x) = 0 Reorder the terms: 1x + 40x3 = 0 Solving 1x + 40x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 40x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + 40x2)' equal to zero and attempt to solve: Simplifying 1 + 40x2 = 0 Solving 1 + 40x2 = 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 + 40x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 40x2 = 0 + -1 40x2 = 0 + -1 Combine like terms: 0 + -1 = -1 40x2 = -1 Divide each side by '40'. x2 = -0.025 Simplifying x2 = -0.025 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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