(8x^2-3x^3)-(2x^2-7x^3)=

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Solution for (8x^2-3x^3)-(2x^2-7x^3)= equation:


Simplifying
(8x2 + -3x3) + -1(2x2 + -7x3) = 0

Remove parenthesis around (8x2 + -3x3)
8x2 + -3x3 + -1(2x2 + -7x3) = 0
8x2 + -3x3 + (2x2 * -1 + -7x3 * -1) = 0
8x2 + -3x3 + (-2x2 + 7x3) = 0

Reorder the terms:
8x2 + -2x2 + -3x3 + 7x3 = 0

Combine like terms: 8x2 + -2x2 = 6x2
6x2 + -3x3 + 7x3 = 0

Combine like terms: -3x3 + 7x3 = 4x3
6x2 + 4x3 = 0

Solving
6x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(3 + 2x) = 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Solution

x = {0, -1.5}

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