5x^2=30-19x

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Solution for 5x^2=30-19x equation:


Simplifying
5x2 = 30 + -19x

Solving
5x2 = 30 + -19x

Solving for variable 'x'.

Reorder the terms:
-30 + 19x + 5x2 = 30 + -19x + -30 + 19x

Reorder the terms:
-30 + 19x + 5x2 = 30 + -30 + -19x + 19x

Combine like terms: 30 + -30 = 0
-30 + 19x + 5x2 = 0 + -19x + 19x
-30 + 19x + 5x2 = -19x + 19x

Combine like terms: -19x + 19x = 0
-30 + 19x + 5x2 = 0

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

Subproblem 1

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

Subproblem 2

Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 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 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2

Solution

x = {-5, 1.2}

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