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Simplifying 7x * x * x + 4x + -6x * x * x + 3x = 0 Multiply x * x 7x2 * x + 4x + -6x * x * x + 3x = 0 Multiply x2 * x 7x3 + 4x + -6x * x * x + 3x = 0 Multiply x * x 7x3 + 4x + -6x2 * x + 3x = 0 Multiply x2 * x 7x3 + 4x + -6x3 + 3x = 0 Reorder the terms: 4x + 3x + 7x3 + -6x3 = 0 Combine like terms: 4x + 3x = 7x 7x + 7x3 + -6x3 = 0 Combine like terms: 7x3 + -6x3 = 1x3 7x + 1x3 = 0 Solving 7x + 1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + x2) = 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 '(7 + x2)' equal to zero and attempt to solve: Simplifying 7 + x2 = 0 Solving 7 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x2 = 0 + -7 x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x2 = -7 Simplifying x2 = -7 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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