9x^2+54x=19

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Solution for 9x^2+54x=19 equation:


Simplifying
9x2 + 54x = 19

Reorder the terms:
54x + 9x2 = 19

Solving
54x + 9x2 = 19

Solving for variable 'x'.

Reorder the terms:
-19 + 54x + 9x2 = 19 + -19

Combine like terms: 19 + -19 = 0
-19 + 54x + 9x2 = 0

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

Subproblem 1

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

Subproblem 2

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Solution

x = {-6.333333333, 0.3333333333}

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