3x(4x+10)=3(10x+5)

Solution for 3x(4x+10)=3(10x+5) equation:

Simplifying
3x(4x + 10) = 3(10x + 5)

Reorder the terms:
3x(10 + 4x) = 3(10x + 5)
(10 * 3x + 4x * 3x) = 3(10x + 5)
(30x + 12x2) = 3(10x + 5)

Reorder the terms:
30x + 12x2 = 3(5 + 10x)
30x + 12x2 = (5 * 3 + 10x * 3)
30x + 12x2 = (15 + 30x)

Add '-30x' to each side of the equation.
30x + -30x + 12x2 = 15 + 30x + -30x

Combine like terms: 30x + -30x = 0
0 + 12x2 = 15 + 30x + -30x
12x2 = 15 + 30x + -30x

Combine like terms: 30x + -30x = 0
12x2 = 15 + 0
12x2 = 15

Solving
12x2 = 15

Solving for variable 'x'.

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

Divide each side by '12'.
x2 = 1.25

Simplifying
x2 = 1.25

Take the square root of each side:
x = {-1.118033989, 1.118033989}