48t^2-98t+49=0

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Solution for 48t^2-98t+49=0 equation:


Simplifying
48t2 + -98t + 49 = 0

Reorder the terms:
49 + -98t + 48t2 = 0

Solving
49 + -98t + 48t2 = 0

Solving for variable 't'.

Factor a trinomial.
(7 + -8t)(7 + -6t) = 0

Subproblem 1

Set the factor '(7 + -8t)' equal to zero and attempt to solve: Simplifying 7 + -8t = 0 Solving 7 + -8t = 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 + -8t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8t = 0 + -7 -8t = 0 + -7 Combine like terms: 0 + -7 = -7 -8t = -7 Divide each side by '-8'. t = 0.875 Simplifying t = 0.875

Subproblem 2

Set the factor '(7 + -6t)' equal to zero and attempt to solve: Simplifying 7 + -6t = 0 Solving 7 + -6t = 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 + -6t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6t = 0 + -7 -6t = 0 + -7 Combine like terms: 0 + -7 = -7 -6t = -7 Divide each side by '-6'. t = 1.166666667 Simplifying t = 1.166666667

Solution

t = {0.875, 1.166666667}

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