(4x+10)(2x-5)=

Solution for (4x+10)(2x-5)= equation:

Simplifying
(4x + 10)(2x + -5) = 0

Reorder the terms:
(10 + 4x)(2x + -5) = 0

Reorder the terms:
(10 + 4x)(-5 + 2x) = 0

Multiply (10 + 4x) * (-5 + 2x)
(10(-5 + 2x) + 4x * (-5 + 2x)) = 0
((-5 * 10 + 2x * 10) + 4x * (-5 + 2x)) = 0
((-50 + 20x) + 4x * (-5 + 2x)) = 0
(-50 + 20x + (-5 * 4x + 2x * 4x)) = 0
(-50 + 20x + (-20x + 8x2)) = 0

Combine like terms: 20x + -20x = 0
(-50 + 0 + 8x2) = 0
(-50 + 8x2) = 0

Solving
-50 + 8x2 = 0

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 8x2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 8x2 = 0 + 50
8x2 = 0 + 50

Combine like terms: 0 + 50 = 50
8x2 = 50

Divide each side by '8'.
x2 = 6.25

Simplifying
x2 = 6.25

Take the square root of each side:
x = {-2.5, 2.5}