(2t-3)2=2t+5t-26

Solution for (2t-3)2=2t+5t-26 equation:

Simplifying
(2t + -3) * 2 = 2t + 5t + -26

Reorder the terms:
(-3 + 2t) * 2 = 2t + 5t + -26

Reorder the terms for easier multiplication:
2(-3 + 2t) = 2t + 5t + -26
(-3 * 2 + 2t * 2) = 2t + 5t + -26
(-6 + 4t) = 2t + 5t + -26

Reorder the terms:
-6 + 4t = -26 + 2t + 5t

Combine like terms: 2t + 5t = 7t
-6 + 4t = -26 + 7t

Solving
-6 + 4t = -26 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
-6 + 4t + -7t = -26 + 7t + -7t

Combine like terms: 4t + -7t = -3t
-6 + -3t = -26 + 7t + -7t

Combine like terms: 7t + -7t = 0
-6 + -3t = -26 + 0
-6 + -3t = -26

Add '6' to each side of the equation.
-6 + 6 + -3t = -26 + 6

Combine like terms: -6 + 6 = 0
0 + -3t = -26 + 6
-3t = -26 + 6

Combine like terms: -26 + 6 = -20
-3t = -20

Divide each side by '-3'.
t = 6.666666667

Simplifying
t = 6.666666667