3x^2+30=23x

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Solution for 3x^2+30=23x equation:


Simplifying
3x2 + 30 = 23x

Reorder the terms:
30 + 3x2 = 23x

Solving
30 + 3x2 = 23x

Solving for variable 'x'.

Reorder the terms:
30 + -23x + 3x2 = 23x + -23x

Combine like terms: 23x + -23x = 0
30 + -23x + 3x2 = 0

Factor a trinomial.
(5 + -3x)(6 + -1x) = 0

Subproblem 1

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {1.666666667, 6}

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