(-5x^3+7x^2-7x^2-7x+4)(7x^3+2x^2-9x^3)=0

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Solution for (-5x^3+7x^2-7x^2-7x+4)(7x^3+2x^2-9x^3)=0 equation:


Simplifying
(-5x3 + 7x2 + -7x2 + -7x + 4)(7x3 + 2x2 + -9x3) = 0

Reorder the terms:
(4 + -7x + 7x2 + -7x2 + -5x3)(7x3 + 2x2 + -9x3) = 0

Combine like terms: 7x2 + -7x2 = 0
(4 + -7x + 0 + -5x3)(7x3 + 2x2 + -9x3) = 0
(4 + -7x + -5x3)(7x3 + 2x2 + -9x3) = 0

Reorder the terms:
(4 + -7x + -5x3)(2x2 + 7x3 + -9x3) = 0

Combine like terms: 7x3 + -9x3 = -2x3
(4 + -7x + -5x3)(2x2 + -2x3) = 0

Multiply (4 + -7x + -5x3) * (2x2 + -2x3)
(4(2x2 + -2x3) + -7x * (2x2 + -2x3) + -5x3 * (2x2 + -2x3)) = 0
((2x2 * 4 + -2x3 * 4) + -7x * (2x2 + -2x3) + -5x3 * (2x2 + -2x3)) = 0
((8x2 + -8x3) + -7x * (2x2 + -2x3) + -5x3 * (2x2 + -2x3)) = 0
(8x2 + -8x3 + (2x2 * -7x + -2x3 * -7x) + -5x3 * (2x2 + -2x3)) = 0
(8x2 + -8x3 + (-14x3 + 14x4) + -5x3 * (2x2 + -2x3)) = 0
(8x2 + -8x3 + -14x3 + 14x4 + (2x2 * -5x3 + -2x3 * -5x3)) = 0
(8x2 + -8x3 + -14x3 + 14x4 + (-10x5 + 10x6)) = 0

Combine like terms: -8x3 + -14x3 = -22x3
(8x2 + -22x3 + 14x4 + -10x5 + 10x6) = 0

Solving
8x2 + -22x3 + 14x4 + -10x5 + 10x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(4 + -11x + 7x2 + -5x3 + 5x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(4 + -11x + 7x2 + -5x3 + 5x4)' equal to zero and attempt to solve: Simplifying 4 + -11x + 7x2 + -5x3 + 5x4 = 0 Solving 4 + -11x + 7x2 + -5x3 + 5x4 = 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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