8tr+10t+14t^2+13=0

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Solution for 8tr+10t+14t^2+13=0 equation:


Simplifying
8tr + 10t + 14t2 + 13 = 0

Reorder the terms:
13 + 8rt + 10t + 14t2 = 0

Solving
13 + 8rt + 10t + 14t2 = 0

Solving for variable 'r'.

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

Add '-13' to each side of the equation.
13 + 8rt + 10t + -13 + 14t2 = 0 + -13

Reorder the terms:
13 + -13 + 8rt + 10t + 14t2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 8rt + 10t + 14t2 = 0 + -13
8rt + 10t + 14t2 = 0 + -13

Combine like terms: 0 + -13 = -13
8rt + 10t + 14t2 = -13

Add '-10t' to each side of the equation.
8rt + 10t + -10t + 14t2 = -13 + -10t

Combine like terms: 10t + -10t = 0
8rt + 0 + 14t2 = -13 + -10t
8rt + 14t2 = -13 + -10t

Add '-14t2' to each side of the equation.
8rt + 14t2 + -14t2 = -13 + -10t + -14t2

Combine like terms: 14t2 + -14t2 = 0
8rt + 0 = -13 + -10t + -14t2
8rt = -13 + -10t + -14t2

Divide each side by '8t'.
r = -1.625t-1 + -1.25 + -1.75t

Simplifying
r = -1.625t-1 + -1.25 + -1.75t

Reorder the terms:
r = -1.25 + -1.625t-1 + -1.75t

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