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Simplifying (6x4 + 7x + 5x3) + -1(4x4 + -2x3 + 3x) = 0 Reorder the terms: (7x + 5x3 + 6x4) + -1(4x4 + -2x3 + 3x) = 0 Remove parenthesis around (7x + 5x3 + 6x4) 7x + 5x3 + 6x4 + -1(4x4 + -2x3 + 3x) = 0 Reorder the terms: 7x + 5x3 + 6x4 + -1(3x + -2x3 + 4x4) = 0 7x + 5x3 + 6x4 + (3x * -1 + -2x3 * -1 + 4x4 * -1) = 0 7x + 5x3 + 6x4 + (-3x + 2x3 + -4x4) = 0 Reorder the terms: 7x + -3x + 5x3 + 2x3 + 6x4 + -4x4 = 0 Combine like terms: 7x + -3x = 4x 4x + 5x3 + 2x3 + 6x4 + -4x4 = 0 Combine like terms: 5x3 + 2x3 = 7x3 4x + 7x3 + 6x4 + -4x4 = 0 Combine like terms: 6x4 + -4x4 = 2x4 4x + 7x3 + 2x4 = 0 Solving 4x + 7x3 + 2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4 + 7x2 + 2x3) = 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 '(4 + 7x2 + 2x3)' equal to zero and attempt to solve: Simplifying 4 + 7x2 + 2x3 = 0 Solving 4 + 7x2 + 2x3 = 0 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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