(2-3x)[-5x-2x(x^3+7x^2-8)]=

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Solution for (2-3x)[-5x-2x(x^3+7x^2-8)]= equation:


Simplifying
(2 + -3x)[-5x + -2x(x3 + 7x2 + -8)] = 0

Reorder the terms:
(2 + -3x)[-5x + -2x(-8 + 7x2 + x3)] = 0
(2 + -3x)[-5x + (-8 * -2x + 7x2 * -2x + x3 * -2x)] = 0
(2 + -3x)[-5x + (16x + -14x3 + -2x4)] = 0

Combine like terms: -5x + 16x = 11x
(2 + -3x)[11x + -14x3 + -2x4] = 0

Multiply (2 + -3x) * [11x + -14x3 + -2x4]
(2[11x + -14x3 + -2x4] + -3x * [11x + -14x3 + -2x4]) = 0
([11x * 2 + -14x3 * 2 + -2x4 * 2] + -3x * [11x + -14x3 + -2x4]) = 0
([22x + -28x3 + -4x4] + -3x * [11x + -14x3 + -2x4]) = 0
(22x + -28x3 + -4x4 + [11x * -3x + -14x3 * -3x + -2x4 * -3x]) = 0
(22x + -28x3 + -4x4 + [-33x2 + 42x4 + 6x5]) = 0

Reorder the terms:
(22x + -33x2 + -28x3 + -4x4 + 42x4 + 6x5) = 0

Combine like terms: -4x4 + 42x4 = 38x4
(22x + -33x2 + -28x3 + 38x4 + 6x5) = 0

Solving
22x + -33x2 + -28x3 + 38x4 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(22 + -33x + -28x2 + 38x3 + 6x4) = 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 '(22 + -33x + -28x2 + 38x3 + 6x4)' equal to zero and attempt to solve: Simplifying 22 + -33x + -28x2 + 38x3 + 6x4 = 0 Solving 22 + -33x + -28x2 + 38x3 + 6x4 = 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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