8x^2-7x^3-5x^2-9x^3=0

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Solution for 8x^2-7x^3-5x^2-9x^3=0 equation:


Simplifying
8x2 + -7x3 + -5x2 + -9x3 = 0

Reorder the terms:
8x2 + -5x2 + -7x3 + -9x3 = 0

Combine like terms: 8x2 + -5x2 = 3x2
3x2 + -7x3 + -9x3 = 0

Combine like terms: -7x3 + -9x3 = -16x3
3x2 + -16x3 = 0

Solving
3x2 + -16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(3 + -16x) = 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 '(3 + -16x)' equal to zero and attempt to solve: Simplifying 3 + -16x = 0 Solving 3 + -16x = 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 + -16x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -16x = 0 + -3 -16x = 0 + -3 Combine like terms: 0 + -3 = -3 -16x = -3 Divide each side by '-16'. x = 0.1875 Simplifying x = 0.1875

Solution

x = {0, 0.1875}

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