-19x^3=152x^2

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Solution for -19x^3=152x^2 equation:


Simplifying
-19x3 = 152x2

Solving
-19x3 = 152x2

Solving for variable 'x'.

Reorder the terms:
-152x2 + -19x3 = 152x2 + -152x2

Combine like terms: 152x2 + -152x2 = 0
-152x2 + -19x3 = 0

Factor out the Greatest Common Factor (GCF), '-19x2'.
-19x2(8 + x) = 0

Ignore the factor -19.

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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Solution

x = {0, -8}

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