5x(5x+9)=22

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Solution for 5x(5x+9)=22 equation:


Simplifying
5x(5x + 9) = 22

Reorder the terms:
5x(9 + 5x) = 22
(9 * 5x + 5x * 5x) = 22
(45x + 25x2) = 22

Solving
45x + 25x2 = 22

Solving for variable 'x'.

Reorder the terms:
-22 + 45x + 25x2 = 22 + -22

Combine like terms: 22 + -22 = 0
-22 + 45x + 25x2 = 0

Factor a trinomial.
(-11 + -5x)(2 + -5x) = 0

Subproblem 1

Set the factor '(-11 + -5x)' equal to zero and attempt to solve: Simplifying -11 + -5x = 0 Solving -11 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -5x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -5x = 0 + 11 -5x = 0 + 11 Combine like terms: 0 + 11 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2

Subproblem 2

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Solution

x = {-2.2, 0.4}

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