(2x+10)(3x-15)=5

Solution for (2x+10)(3x-15)=5 equation:

Simplifying
(2x + 10)(3x + -15) = 5

Reorder the terms:
(10 + 2x)(3x + -15) = 5

Reorder the terms:
(10 + 2x)(-15 + 3x) = 5

Multiply (10 + 2x) * (-15 + 3x)
(10(-15 + 3x) + 2x * (-15 + 3x)) = 5
((-15 * 10 + 3x * 10) + 2x * (-15 + 3x)) = 5
((-150 + 30x) + 2x * (-15 + 3x)) = 5
(-150 + 30x + (-15 * 2x + 3x * 2x)) = 5
(-150 + 30x + (-30x + 6x2)) = 5

Combine like terms: 30x + -30x = 0
(-150 + 0 + 6x2) = 5
(-150 + 6x2) = 5

Solving
-150 + 6x2 = 5

Solving for variable 'x'.

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

Add '150' to each side of the equation.
-150 + 150 + 6x2 = 5 + 150

Combine like terms: -150 + 150 = 0
0 + 6x2 = 5 + 150
6x2 = 5 + 150

Combine like terms: 5 + 150 = 155
6x2 = 155

Divide each side by '6'.
x2 = 25.83333333

Simplifying
x2 = 25.83333333

Take the square root of each side:
x = {-5.082650227, 5.082650227}