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Simplifying (4x2 + 3)(x) = 0 Reorder the terms: (3 + 4x2)(x) = 0 Reorder the terms for easier multiplication: x(3 + 4x2) = 0 (3 * x + 4x2 * x) = 0 (3x + 4x3) = 0 Solving 3x + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 4x2) = 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 '(3 + 4x2)' equal to zero and attempt to solve: Simplifying 3 + 4x2 = 0 Solving 3 + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x2 = 0 + -3 4x2 = 0 + -3 Combine like terms: 0 + -3 = -3 4x2 = -3 Divide each side by '4'. x2 = -0.75 Simplifying x2 = -0.75 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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