35r^2+6r-8=

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Solution for 35r^2+6r-8= equation:


Simplifying
35r2 + 6r + -8 = 0

Reorder the terms:
-8 + 6r + 35r2 = 0

Solving
-8 + 6r + 35r2 = 0

Solving for variable 'r'.

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

Subproblem 1

Set the factor '(-4 + -7r)' equal to zero and attempt to solve: Simplifying -4 + -7r = 0 Solving -4 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7r = 0 + 4 -7r = 0 + 4 Combine like terms: 0 + 4 = 4 -7r = 4 Divide each side by '-7'. r = -0.5714285714 Simplifying r = -0.5714285714

Subproblem 2

Set the factor '(2 + -5r)' equal to zero and attempt to solve: Simplifying 2 + -5r = 0 Solving 2 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5r = 0 + -2 -5r = 0 + -2 Combine like terms: 0 + -2 = -2 -5r = -2 Divide each side by '-5'. r = 0.4 Simplifying r = 0.4

Solution

r = {-0.5714285714, 0.4}

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