25x^2+45x+9=-9

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Solution for 25x^2+45x+9=-9 equation:


Simplifying
25x2 + 45x + 9 = -9

Reorder the terms:
9 + 45x + 25x2 = -9

Solving
9 + 45x + 25x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + 9 + 45x + 25x2 = -9 + 9

Combine like terms: 9 + 9 = 18
18 + 45x + 25x2 = -9 + 9

Combine like terms: -9 + 9 = 0
18 + 45x + 25x2 = 0

Factor a trinomial.
(6 + 5x)(3 + 5x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6

Solution

x = {-1.2, -0.6}

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