10t^2+27t-28=0

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Solution for 10t^2+27t-28=0 equation:


Simplifying
10t2 + 27t + -28 = 0

Reorder the terms:
-28 + 27t + 10t2 = 0

Solving
-28 + 27t + 10t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-7 + -2t)(4 + -5t) = 0

Subproblem 1

Set the factor '(-7 + -2t)' equal to zero and attempt to solve: Simplifying -7 + -2t = 0 Solving -7 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2t = 0 + 7 -2t = 0 + 7 Combine like terms: 0 + 7 = 7 -2t = 7 Divide each side by '-2'. t = -3.5 Simplifying t = -3.5

Subproblem 2

Set the factor '(4 + -5t)' equal to zero and attempt to solve: Simplifying 4 + -5t = 0 Solving 4 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5t = 0 + -4 -5t = 0 + -4 Combine like terms: 0 + -4 = -4 -5t = -4 Divide each side by '-5'. t = 0.8 Simplifying t = 0.8

Solution

t = {-3.5, 0.8}

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