16x^2+24x+1=24x+26

Solution for 16x^2+24x+1=24x+26 equation:

Simplifying
16x2 + 24x + 1 = 24x + 26

Reorder the terms:
1 + 24x + 16x2 = 24x + 26

Reorder the terms:
1 + 24x + 16x2 = 26 + 24x

Add '-24x' to each side of the equation.
1 + 24x + -24x + 16x2 = 26 + 24x + -24x

Combine like terms: 24x + -24x = 0
1 + 0 + 16x2 = 26 + 24x + -24x
1 + 16x2 = 26 + 24x + -24x

Combine like terms: 24x + -24x = 0
1 + 16x2 = 26 + 0
1 + 16x2 = 26

Solving
1 + 16x2 = 26

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 16x2 = 26 + -1

Combine like terms: 1 + -1 = 0
0 + 16x2 = 26 + -1
16x2 = 26 + -1

Combine like terms: 26 + -1 = 25
16x2 = 25

Divide each side by '16'.
x2 = 1.5625

Simplifying
x2 = 1.5625

Take the square root of each side:
x = {-1.25, 1.25}