5x^2+4x=204

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Solution for 5x^2+4x=204 equation:


Simplifying
5x2 + 4x = 204

Reorder the terms:
4x + 5x2 = 204

Solving
4x + 5x2 = 204

Solving for variable 'x'.

Reorder the terms:
-204 + 4x + 5x2 = 204 + -204

Combine like terms: 204 + -204 = 0
-204 + 4x + 5x2 = 0

Factor a trinomial.
(-34 + -5x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-34 + -5x)' equal to zero and attempt to solve: Simplifying -34 + -5x = 0 Solving -34 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -5x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -5x = 0 + 34 -5x = 0 + 34 Combine like terms: 0 + 34 = 34 -5x = 34 Divide each side by '-5'. x = -6.8 Simplifying x = -6.8

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 = {-6.8, 6}

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