(2x+10)(3x-15)=37

Solution for (2x+10)(3x-15)=37 equation:

Simplifying
(2x + 10)(3x + -15) = 37

Reorder the terms:
(10 + 2x)(3x + -15) = 37

Reorder the terms:
(10 + 2x)(-15 + 3x) = 37

Multiply (10 + 2x) * (-15 + 3x)
(10(-15 + 3x) + 2x * (-15 + 3x)) = 37
((-15 * 10 + 3x * 10) + 2x * (-15 + 3x)) = 37
((-150 + 30x) + 2x * (-15 + 3x)) = 37
(-150 + 30x + (-15 * 2x + 3x * 2x)) = 37
(-150 + 30x + (-30x + 6x2)) = 37

Combine like terms: 30x + -30x = 0
(-150 + 0 + 6x2) = 37
(-150 + 6x2) = 37

Solving
-150 + 6x2 = 37

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 = 37 + 150

Combine like terms: -150 + 150 = 0
0 + 6x2 = 37 + 150
6x2 = 37 + 150

Combine like terms: 37 + 150 = 187
6x2 = 187

Divide each side by '6'.
x2 = 31.16666667

Simplifying
x2 = 31.16666667

Take the square root of each side:
x = {-5.582711408, 5.582711408}