3x^2+10=17x

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Solution for 3x^2+10=17x equation:


Simplifying
3x2 + 10 = 17x

Reorder the terms:
10 + 3x2 = 17x

Solving
10 + 3x2 = 17x

Solving for variable 'x'.

Reorder the terms:
10 + -17x + 3x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
10 + -17x + 3x2 = 0

Factor a trinomial.
(2 + -3x)(5 + -1x) = 0

Subproblem 1

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {0.6666666667, 5}

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