(4t^2-t+7)+(3t^2+t+5)=0

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Solution for (4t^2-t+7)+(3t^2+t+5)=0 equation:


Simplifying
(4t2 + -1t + 7) + (3t2 + t + 5) = 0

Reorder the terms:
(7 + -1t + 4t2) + (3t2 + t + 5) = 0

Remove parenthesis around (7 + -1t + 4t2)
7 + -1t + 4t2 + (3t2 + t + 5) = 0

Reorder the terms:
7 + -1t + 4t2 + (5 + t + 3t2) = 0

Remove parenthesis around (5 + t + 3t2)
7 + -1t + 4t2 + 5 + t + 3t2 = 0

Reorder the terms:
7 + 5 + -1t + t + 4t2 + 3t2 = 0

Combine like terms: 7 + 5 = 12
12 + -1t + t + 4t2 + 3t2 = 0

Combine like terms: -1t + t = 0
12 + 0 + 4t2 + 3t2 = 0
12 + 4t2 + 3t2 = 0

Combine like terms: 4t2 + 3t2 = 7t2
12 + 7t2 = 0

Solving
12 + 7t2 = 0

Solving for variable 't'.

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

Add '-12' to each side of the equation.
12 + -12 + 7t2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 7t2 = 0 + -12
7t2 = 0 + -12

Combine like terms: 0 + -12 = -12
7t2 = -12

Divide each side by '7'.
t2 = -1.714285714

Simplifying
t2 = -1.714285714

Reorder the terms:
1.714285714 + t2 = -1.714285714 + 1.714285714

Combine like terms: -1.714285714 + 1.714285714 = 0.000000000
1.714285714 + t2 = 0.000000000

The solution to this equation could not be determined.

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