=x^2(114-4x)

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Solution for =x^2(114-4x) equation:


Simplifying
0 = x2(114 + -4x)
0 = (114 * x2 + -4x * x2)
0 = (114x2 + -4x3)

Solving
0 = 114x2 + -4x3

Solving for variable 'x'.
Remove the zero:
-114x2 + 4x3 = 114x2 + -4x3 + -114x2 + 4x3

Reorder the terms:
-114x2 + 4x3 = 114x2 + -114x2 + -4x3 + 4x3

Combine like terms: 114x2 + -114x2 = 0
-114x2 + 4x3 = 0 + -4x3 + 4x3
-114x2 + 4x3 = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
-114x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-57 + 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 '(-57 + 2x)' equal to zero and attempt to solve: Simplifying -57 + 2x = 0 Solving -57 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 2x = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 2x = 0 + 57 2x = 0 + 57 Combine like terms: 0 + 57 = 57 2x = 57 Divide each side by '2'. x = 28.5 Simplifying x = 28.5

Solution

x = {0, 28.5}

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