(8x^2-3x^3)-(6x^2-8x^3)=0

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Solution for (8x^2-3x^3)-(6x^2-8x^3)=0 equation:


Simplifying
(8x2 + -3x3) + -1(6x2 + -8x3) = 0

Remove parenthesis around (8x2 + -3x3)
8x2 + -3x3 + -1(6x2 + -8x3) = 0
8x2 + -3x3 + (6x2 * -1 + -8x3 * -1) = 0
8x2 + -3x3 + (-6x2 + 8x3) = 0

Reorder the terms:
8x2 + -6x2 + -3x3 + 8x3 = 0

Combine like terms: 8x2 + -6x2 = 2x2
2x2 + -3x3 + 8x3 = 0

Combine like terms: -3x3 + 8x3 = 5x3
2x2 + 5x3 = 0

Solving
2x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(2 + 5x) = 0

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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4

Solution

x = {0, -0.4}

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