19x=-5x^2+4

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Solution for 19x=-5x^2+4 equation:


Simplifying
19x = -5x2 + 4

Reorder the terms:
19x = 4 + -5x2

Solving
19x = 4 + -5x2

Solving for variable 'x'.

Reorder the terms:
-4 + 19x + 5x2 = 4 + -5x2 + -4 + 5x2

Reorder the terms:
-4 + 19x + 5x2 = 4 + -4 + -5x2 + 5x2

Combine like terms: 4 + -4 = 0
-4 + 19x + 5x2 = 0 + -5x2 + 5x2
-4 + 19x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-4 + 19x + 5x2 = 0

Factor a trinomial.
(-4 + -1x)(1 + -5x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2

Solution

x = {-4, 0.2}

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