-16x^2+40x=10x

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Solution for -16x^2+40x=10x equation: 


Simplifying
-16x2 + 40x = 10x

Reorder the terms:
40x + -16x2 = 10x

Solving
40x + -16x2 = 10x

Solving for variable 'x'.

Reorder the terms:
40x + -10x + -16x2 = 10x + -10x

Combine like terms: 40x + -10x = 30x
30x + -16x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
30x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(15 + -8x) = 0

Ignore the factor 2.

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 '(15 + -8x)' equal to zero and attempt to solve:

Simplifying
15 + -8x = 0

Solving
15 + -8x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + -8x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = 0 + -15
-8x = 0 + -15

Combine like terms: 0 + -15 = -15
-8x = -15

Divide each side by '-8'.
x = 1.875

Simplifying
x = 1.875
Solution
x = {0, 1.875}

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