(5t^2-t+6)+(-4t^2+3t+7)=

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Solution for (5t^2-t+6)+(-4t^2+3t+7)= equation:


Simplifying
(5t2 + -1t + 6) + (-4t2 + 3t + 7) = 0

Reorder the terms:
(6 + -1t + 5t2) + (-4t2 + 3t + 7) = 0

Remove parenthesis around (6 + -1t + 5t2)
6 + -1t + 5t2 + (-4t2 + 3t + 7) = 0

Reorder the terms:
6 + -1t + 5t2 + (7 + 3t + -4t2) = 0

Remove parenthesis around (7 + 3t + -4t2)
6 + -1t + 5t2 + 7 + 3t + -4t2 = 0

Reorder the terms:
6 + 7 + -1t + 3t + 5t2 + -4t2 = 0

Combine like terms: 6 + 7 = 13
13 + -1t + 3t + 5t2 + -4t2 = 0

Combine like terms: -1t + 3t = 2t
13 + 2t + 5t2 + -4t2 = 0

Combine like terms: 5t2 + -4t2 = 1t2
13 + 2t + 1t2 = 0

Solving
13 + 2t + 1t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + 2t + -13 + t2 = 0 + -13

Reorder the terms:
13 + -13 + 2t + t2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2t + t2 = 0 + -13
2t + t2 = 0 + -13

Combine like terms: 0 + -13 = -13
2t + t2 = -13

The t term is 2t.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2t + 1 + t2 = -13 + 1

Reorder the terms:
1 + 2t + t2 = -13 + 1

Combine like terms: -13 + 1 = -12
1 + 2t + t2 = -12

Factor a perfect square on the left side:
(t + 1)(t + 1) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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