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Simplifying 4(x + -3) * 34(x + -3) * 4(x + -3) * 3x + -2x + 3 = 3x + -2x + 3x + -2x + 3 Reorder the terms: 4(-3 + x) * 34(x + -3) * 4(x + -3) * 3x + -2x + 3 = 3x + -2x + 3x + -2x + 3 Reorder the terms: 4(-3 + x) * 34(-3 + x) * 4(x + -3) * 3x + -2x + 3 = 3x + -2x + 3x + -2x + 3 Reorder the terms: 4(-3 + x) * 34(-3 + x) * 4(-3 + x) * 3x + -2x + 3 = 3x + -2x + 3x + -2x + 3 Reorder the terms for easier multiplication: 4 * 34 * 4 * 3x(-3 + x)(-3 + x)(-3 + x) + -2x + 3 = 3x + -2x + 3x + -2x + 3 Multiply 4 * 34 136 * 4 * 3x(-3 + x)(-3 + x)(-3 + x) + -2x + 3 = 3x + -2x + 3x + -2x + 3 Multiply 136 * 4 544 * 3x(-3 + x)(-3 + x)(-3 + x) + -2x + 3 = 3x + -2x + 3x + -2x + 3 Multiply 544 * 3 1632x(-3 + x)(-3 + x)(-3 + x) + -2x + 3 = 3x + -2x + 3x + -2x + 3 Multiply (-3 + x) * (-3 + x) 1632x(-3(-3 + x) + x(-3 + x))(-3 + x) + -2x + 3 = 3x + -2x + 3x + -2x + 3 1632x((-3 * -3 + x * -3) + x(-3 + x))(-3 + x) + -2x + 3 = 3x + -2x + 3x + -2x + 3 1632x((9 + -3x) + x(-3 + x))(-3 + x) + -2x + 3 = 3x + -2x + 3x + -2x + 3 1632x(9 + -3x + (-3 * x + x * x))(-3 + x) + -2x + 3 = 3x + -2x + 3x + -2x + 3 1632x(9 + -3x + (-3x + x2))(-3 + x) + -2x + 3 = 3x + -2x + 3x + -2x + 3 Combine like terms: -3x + -3x = -6x 1632x(9 + -6x + x2)(-3 + x) + -2x + 3 = 3x + -2x + 3x + -2x + 3 Multiply (9 + -6x + x2) * (-3 + x) 1632x(9(-3 + x) + -6x * (-3 + x) + x2(-3 + x)) + -2x + 3 = 3x + -2x + 3x + -2x + 3 1632x((-3 * 9 + x * 9) + -6x * (-3 + x) + x2(-3 + x)) + -2x + 3 = 3x + -2x + 3x + -2x + 3 1632x((-27 + 9x) + -6x * (-3 + x) + x2(-3 + x)) + -2x + 3 = 3x + -2x + 3x + -2x + 3 1632x(-27 + 9x + (-3 * -6x + x * -6x) + x2(-3 + x)) + -2x + 3 = 3x + -2x + 3x + -2x + 3 1632x(-27 + 9x + (18x + -6x2) + x2(-3 + x)) + -2x + 3 = 3x + -2x + 3x + -2x + 3 1632x(-27 + 9x + 18x + -6x2 + (-3 * x2 + x * x2)) + -2x + 3 = 3x + -2x + 3x + -2x + 3 1632x(-27 + 9x + 18x + -6x2 + (-3x2 + x3)) + -2x + 3 = 3x + -2x + 3x + -2x + 3 Combine like terms: 9x + 18x = 27x 1632x(-27 + 27x + -6x2 + -3x2 + x3) + -2x + 3 = 3x + -2x + 3x + -2x + 3 Combine like terms: -6x2 + -3x2 = -9x2 1632x(-27 + 27x + -9x2 + x3) + -2x + 3 = 3x + -2x + 3x + -2x + 3 (-27 * 1632x + 27x * 1632x + -9x2 * 1632x + x3 * 1632x) + -2x + 3 = 3x + -2x + 3x + -2x + 3 (-44064x + 44064x2 + -14688x3 + 1632x4) + -2x + 3 = 3x + -2x + 3x + -2x + 3 Reorder the terms: 3 + -44064x + -2x + 44064x2 + -14688x3 + 1632x4 = 3x + -2x + 3x + -2x + 3 Combine like terms: -44064x + -2x = -44066x 3 + -44066x + 44064x2 + -14688x3 + 1632x4 = 3x + -2x + 3x + -2x + 3 Reorder the terms: 3 + -44066x + 44064x2 + -14688x3 + 1632x4 = 3 + 3x + -2x + 3x + -2x Combine like terms: 3x + -2x = 1x 3 + -44066x + 44064x2 + -14688x3 + 1632x4 = 3 + 1x + 3x + -2x Combine like terms: 1x + 3x = 4x 3 + -44066x + 44064x2 + -14688x3 + 1632x4 = 3 + 4x + -2x Combine like terms: 4x + -2x = 2x 3 + -44066x + 44064x2 + -14688x3 + 1632x4 = 3 + 2x Add '-3' to each side of the equation. 3 + -44066x + 44064x2 + -14688x3 + -3 + 1632x4 = 3 + -3 + 2x Reorder the terms: 3 + -3 + -44066x + 44064x2 + -14688x3 + 1632x4 = 3 + -3 + 2x Combine like terms: 3 + -3 = 0 0 + -44066x + 44064x2 + -14688x3 + 1632x4 = 3 + -3 + 2x -44066x + 44064x2 + -14688x3 + 1632x4 = 3 + -3 + 2x Combine like terms: 3 + -3 = 0 -44066x + 44064x2 + -14688x3 + 1632x4 = 0 + 2x -44066x + 44064x2 + -14688x3 + 1632x4 = 2x Solving -44066x + 44064x2 + -14688x3 + 1632x4 = 2x Solving for variable 'x'. Reorder the terms: -44066x + -2x + 44064x2 + -14688x3 + 1632x4 = 2x + -2x Combine like terms: -44066x + -2x = -44068x -44068x + 44064x2 + -14688x3 + 1632x4 = 2x + -2x Combine like terms: 2x + -2x = 0 -44068x + 44064x2 + -14688x3 + 1632x4 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-11017 + 11016x + -3672x2 + 408x3) = 0 Ignore the factor 4.Subproblem 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 '(-11017 + 11016x + -3672x2 + 408x3)' equal to zero and attempt to solve: Simplifying -11017 + 11016x + -3672x2 + 408x3 = 0 Solving -11017 + 11016x + -3672x2 + 408x3 = 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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