3x^2-57=10x

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Solution for 3x^2-57=10x equation:


Simplifying
3x2 + -57 = 10x

Reorder the terms:
-57 + 3x2 = 10x

Solving
-57 + 3x2 = 10x

Solving for variable 'x'.

Reorder the terms:
-57 + -10x + 3x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-57 + -10x + 3x2 = 0

Factor a trinomial.
(-3 + -1x)(19 + -3x) = 0

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(19 + -3x)' equal to zero and attempt to solve: Simplifying 19 + -3x = 0 Solving 19 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -3x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = 0 + -19 -3x = 0 + -19 Combine like terms: 0 + -19 = -19 -3x = -19 Divide each side by '-3'. x = 6.333333333 Simplifying x = 6.333333333

Solution

x = {-3, 6.333333333}

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