10-x(2.5x+x)=0

Solution for 10-x(2.5x+x)=0 equation:

Simplifying
10 + -1x(2.5x + x) = 0

Combine like terms: 2.5x + x = 3.5x
10 + -1x(3.5x) = 0

Remove parenthesis around (3.5x)
10 + -1x * 3.5x = 0

Reorder the terms for easier multiplication:
10 + -1 * 3.5x * x = 0

Multiply -1 * 3.5
10 + -3.5x * x = 0

Multiply x * x
10 + -3.5x2 = 0

Solving
10 + -3.5x2 = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -3.5x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3.5x2 = 0 + -10
-3.5x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-3.5x2 = -10

Divide each side by '-3.5'.
x2 = 2.857142857

Simplifying
x2 = 2.857142857

Take the square root of each side:
x = {-1.690308509, 1.690308509}