3T^2+T=70

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Solution for 3T^2+T=70 equation:


Simplifying
3T2 + T = 70

Reorder the terms:
T + 3T2 = 70

Solving
T + 3T2 = 70

Solving for variable 'T'.

Reorder the terms:
-70 + T + 3T2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + T + 3T2 = 0

Factor a trinomial.
(-5 + -1T)(14 + -3T) = 0

Subproblem 1

Set the factor '(-5 + -1T)' equal to zero and attempt to solve: Simplifying -5 + -1T = 0 Solving -5 + -1T = 0 Move all terms containing T to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1T = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1T = 0 + 5 -1T = 0 + 5 Combine like terms: 0 + 5 = 5 -1T = 5 Divide each side by '-1'. T = -5 Simplifying T = -5

Subproblem 2

Set the factor '(14 + -3T)' equal to zero and attempt to solve: Simplifying 14 + -3T = 0 Solving 14 + -3T = 0 Move all terms containing T to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3T = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3T = 0 + -14 -3T = 0 + -14 Combine like terms: 0 + -14 = -14 -3T = -14 Divide each side by '-3'. T = 4.666666667 Simplifying T = 4.666666667

Solution

T = {-5, 4.666666667}

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