(s*s)-17s+70=0

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Solution for (s*s)-17s+70=0 equation:


Simplifying
(s * s) + -17s + 70 = 0

Multiply s * s
(s2) + -17s + 70 = 0
s2 + -17s + 70 = 0

Reorder the terms:
70 + -17s + s2 = 0

Solving
70 + -17s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(7 + -1s)(10 + -1s) = 0

Subproblem 1

Set the factor '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Divide each side by '-1'. s = 7 Simplifying s = 7

Subproblem 2

Set the factor '(10 + -1s)' equal to zero and attempt to solve: Simplifying 10 + -1s = 0 Solving 10 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1s = 0 + -10 -1s = 0 + -10 Combine like terms: 0 + -10 = -10 -1s = -10 Divide each side by '-1'. s = 10 Simplifying s = 10

Solution

s = {7, 10}

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