4t^2-9+16=15-4t^2

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Solution for 4t^2-9+16=15-4t^2 equation: 


Simplifying
4t2 + -9 + 16 = 15 + -4t2

Reorder the terms:
-9 + 16 + 4t2 = 15 + -4t2

Combine like terms: -9 + 16 = 7
7 + 4t2 = 15 + -4t2

Solving
7 + 4t2 = 15 + -4t2

Solving for variable 't'.

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

Add '4t2' to each side of the equation.
7 + 4t2 + 4t2 = 15 + -4t2 + 4t2

Combine like terms: 4t2 + 4t2 = 8t2
7 + 8t2 = 15 + -4t2 + 4t2

Combine like terms: -4t2 + 4t2 = 0
7 + 8t2 = 15 + 0
7 + 8t2 = 15

Add '-7' to each side of the equation.
7 + -7 + 8t2 = 15 + -7

Combine like terms: 7 + -7 = 0
0 + 8t2 = 15 + -7
8t2 = 15 + -7

Combine like terms: 15 + -7 = 8
8t2 = 8

Divide each side by '8'.
t2 = 1

Simplifying
t2 = 1

Take the square root of each side:
t = {-1, 1}

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