0=4x^3+3x^2

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Solution for 0=4x^3+3x^2 equation:


Simplifying
0 = 4x3 + 3x2

Reorder the terms:
0 = 3x2 + 4x3

Solving
0 = 3x2 + 4x3

Solving for variable 'x'.
Remove the zero:
-3x2 + -4x3 = 3x2 + 4x3 + -3x2 + -4x3

Reorder the terms:
-3x2 + -4x3 = 3x2 + -3x2 + 4x3 + -4x3

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

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

Factor out the Greatest Common Factor (GCF), '-1x2'.
-1x2(3 + 4x) = 0

Ignore the factor -1.

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 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Solution

x = {0, -0.75}

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