49x^2+7x+6=7(x+10)

Solution for 49x^2+7x+6=7(x+10) equation:

Simplifying
49x2 + 7x + 6 = 7(x + 10)

Reorder the terms:
6 + 7x + 49x2 = 7(x + 10)

Reorder the terms:
6 + 7x + 49x2 = 7(10 + x)
6 + 7x + 49x2 = (10 * 7 + x * 7)
6 + 7x + 49x2 = (70 + 7x)

Add '-7x' to each side of the equation.
6 + 7x + -7x + 49x2 = 70 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 0 + 49x2 = 70 + 7x + -7x
6 + 49x2 = 70 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 49x2 = 70 + 0
6 + 49x2 = 70

Solving
6 + 49x2 = 70

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 49x2 = 70 + -6

Combine like terms: 6 + -6 = 0
0 + 49x2 = 70 + -6
49x2 = 70 + -6

Combine like terms: 70 + -6 = 64
49x2 = 64

Divide each side by '49'.
x2 = 1.306122449

Simplifying
x2 = 1.306122449

Take the square root of each side:
x = {-1.142857143, 1.142857143}