x(2x-15)+10=3(14-5x)

Solution for x(2x-15)+10=3(14-5x) equation:

Simplifying
x(2x + -15) + 10 = 3(14 + -5x)

Reorder the terms:
x(-15 + 2x) + 10 = 3(14 + -5x)
(-15 * x + 2x * x) + 10 = 3(14 + -5x)
(-15x + 2x2) + 10 = 3(14 + -5x)

Reorder the terms:
10 + -15x + 2x2 = 3(14 + -5x)
10 + -15x + 2x2 = (14 * 3 + -5x * 3)
10 + -15x + 2x2 = (42 + -15x)

Add '15x' to each side of the equation.
10 + -15x + 15x + 2x2 = 42 + -15x + 15x

Combine like terms: -15x + 15x = 0
10 + 0 + 2x2 = 42 + -15x + 15x
10 + 2x2 = 42 + -15x + 15x

Combine like terms: -15x + 15x = 0
10 + 2x2 = 42 + 0
10 + 2x2 = 42

Solving
10 + 2x2 = 42

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 + 2x2 = 42 + -10

Combine like terms: 10 + -10 = 0
0 + 2x2 = 42 + -10
2x2 = 42 + -10

Combine like terms: 42 + -10 = 32
2x2 = 32

Divide each side by '2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}