0=-25x^2+750x

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Solution for 0=-25x^2+750x equation:


Simplifying
0 = -25x2 + 750x

Reorder the terms:
0 = 750x + -25x2

Solving
0 = 750x + -25x2

Solving for variable 'x'.
Remove the zero:
-750x + 25x2 = 750x + -25x2 + -750x + 25x2

Reorder the terms:
-750x + 25x2 = 750x + -750x + -25x2 + 25x2

Combine like terms: 750x + -750x = 0
-750x + 25x2 = 0 + -25x2 + 25x2
-750x + 25x2 = -25x2 + 25x2

Combine like terms: -25x2 + 25x2 = 0
-750x + 25x2 = 0

Factor out the Greatest Common Factor (GCF), '25x'.
25x(-30 + x) = 0

Ignore the factor 25.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-30 + x)' equal to zero and attempt to solve: Simplifying -30 + x = 0 Solving -30 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + x = 0 + 30 x = 0 + 30 Combine like terms: 0 + 30 = 30 x = 30 Simplifying x = 30

Solution

x = {0, 30}

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