35y^2-34y-21=0

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Solution for 35y^2-34y-21=0 equation:


Simplifying
35y2 + -34y + -21 = 0

Reorder the terms:
-21 + -34y + 35y2 = 0

Solving
-21 + -34y + 35y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -7y)(7 + -5y) = 0

Subproblem 1

Set the factor '(-3 + -7y)' equal to zero and attempt to solve: Simplifying -3 + -7y = 0 Solving -3 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7y = 0 + 3 -7y = 0 + 3 Combine like terms: 0 + 3 = 3 -7y = 3 Divide each side by '-7'. y = -0.4285714286 Simplifying y = -0.4285714286

Subproblem 2

Set the factor '(7 + -5y)' equal to zero and attempt to solve: Simplifying 7 + -5y = 0 Solving 7 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = 0 + -7 -5y = 0 + -7 Combine like terms: 0 + -7 = -7 -5y = -7 Divide each side by '-5'. y = 1.4 Simplifying y = 1.4

Solution

y = {-0.4285714286, 1.4}

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