(-5x^3-7x^2+7)(2x^2-x)=

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


Simplifying
(-5x3 + -7x2 + 7)(2x2 + -1x) = 0

Reorder the terms:
(7 + -7x2 + -5x3)(2x2 + -1x) = 0

Reorder the terms:
(7 + -7x2 + -5x3)(-1x + 2x2) = 0

Multiply (7 + -7x2 + -5x3) * (-1x + 2x2)
(7(-1x + 2x2) + -7x2 * (-1x + 2x2) + -5x3 * (-1x + 2x2)) = 0
((-1x * 7 + 2x2 * 7) + -7x2 * (-1x + 2x2) + -5x3 * (-1x + 2x2)) = 0
((-7x + 14x2) + -7x2 * (-1x + 2x2) + -5x3 * (-1x + 2x2)) = 0
(-7x + 14x2 + (-1x * -7x2 + 2x2 * -7x2) + -5x3 * (-1x + 2x2)) = 0
(-7x + 14x2 + (7x3 + -14x4) + -5x3 * (-1x + 2x2)) = 0
(-7x + 14x2 + 7x3 + -14x4 + (-1x * -5x3 + 2x2 * -5x3)) = 0
(-7x + 14x2 + 7x3 + -14x4 + (5x4 + -10x5)) = 0

Combine like terms: -14x4 + 5x4 = -9x4
(-7x + 14x2 + 7x3 + -9x4 + -10x5) = 0

Solving
-7x + 14x2 + 7x3 + -9x4 + -10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 14x + 7x2 + -9x3 + -10x4) = 0

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 = 0

Subproblem 2

Set the factor '(-7 + 14x + 7x2 + -9x3 + -10x4)' equal to zero and attempt to solve: Simplifying -7 + 14x + 7x2 + -9x3 + -10x4 = 0 Solving -7 + 14x + 7x2 + -9x3 + -10x4 = 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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