32t^2-46=7t^2-45

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Solution for 32t^2-46=7t^2-45 equation: 


Simplifying
32t2 + -46 = 7t2 + -45

Reorder the terms:
-46 + 32t2 = 7t2 + -45

Reorder the terms:
-46 + 32t2 = -45 + 7t2

Solving
-46 + 32t2 = -45 + 7t2

Solving for variable 't'.

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

Add '-7t2' to each side of the equation.
-46 + 32t2 + -7t2 = -45 + 7t2 + -7t2

Combine like terms: 32t2 + -7t2 = 25t2
-46 + 25t2 = -45 + 7t2 + -7t2

Combine like terms: 7t2 + -7t2 = 0
-46 + 25t2 = -45 + 0
-46 + 25t2 = -45

Add '46' to each side of the equation.
-46 + 46 + 25t2 = -45 + 46

Combine like terms: -46 + 46 = 0
0 + 25t2 = -45 + 46
25t2 = -45 + 46

Combine like terms: -45 + 46 = 1
25t2 = 1

Divide each side by '25'.
t2 = 0.04

Simplifying
t2 = 0.04

Take the square root of each side:
t = {-0.2, 0.2}

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