100x^2+60x+9=0

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Solution for 100x^2+60x+9=0 equation:


Simplifying
100x2 + 60x + 9 = 0

Reorder the terms:
9 + 60x + 100x2 = 0

Solving
9 + 60x + 100x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + 10x)(3 + 10x) = 0

Subproblem 1

Set the factor '(3 + 10x)' equal to zero and attempt to solve: Simplifying 3 + 10x = 0 Solving 3 + 10x = 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 + 10x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 0 + -3 10x = 0 + -3 Combine like terms: 0 + -3 = -3 10x = -3 Divide each side by '10'. x = -0.3 Simplifying x = -0.3

Subproblem 2

Set the factor '(3 + 10x)' equal to zero and attempt to solve: Simplifying 3 + 10x = 0 Solving 3 + 10x = 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 + 10x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 0 + -3 10x = 0 + -3 Combine like terms: 0 + -3 = -3 10x = -3 Divide each side by '10'. x = -0.3 Simplifying x = -0.3

Solution

x = {-0.3, -0.3}

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