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

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


Simplifying
(2x + -3x2) + -1[5x + -2x(x3 + 7x2 + -8)] = 0

Remove parenthesis around (2x + -3x2)
2x + -3x2 + -1[5x + -2x(x3 + 7x2 + -8)] = 0

Reorder the terms:
2x + -3x2 + -1[5x + -2x(-8 + 7x2 + x3)] = 0
2x + -3x2 + -1[5x + (-8 * -2x + 7x2 * -2x + x3 * -2x)] = 0
2x + -3x2 + -1[5x + (16x + -14x3 + -2x4)] = 0

Combine like terms: 5x + 16x = 21x
2x + -3x2 + -1[21x + -14x3 + -2x4] = 0
2x + -3x2 + [21x * -1 + -14x3 * -1 + -2x4 * -1] = 0
2x + -3x2 + [-21x + 14x3 + 2x4] = 0

Reorder the terms:
2x + -21x + -3x2 + 14x3 + 2x4 = 0

Combine like terms: 2x + -21x = -19x
-19x + -3x2 + 14x3 + 2x4 = 0

Solving
-19x + -3x2 + 14x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-19 + -3x + 14x2 + 2x3) = 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 '(-19 + -3x + 14x2 + 2x3)' equal to zero and attempt to solve: Simplifying -19 + -3x + 14x2 + 2x3 = 0 Solving -19 + -3x + 14x2 + 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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