=9x^2+30x+25

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Solution for =9x^2+30x+25 equation:


Simplifying
0 = 9x2 + 30x + 25

Reorder the terms:
0 = 25 + 30x + 9x2

Solving
0 = 25 + 30x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -25 = -25
-25 + -30x + -9x2 = 25 + 30x + 9x2 + -25 + -30x + -9x2

Reorder the terms:
-25 + -30x + -9x2 = 25 + -25 + 30x + -30x + 9x2 + -9x2

Combine like terms: 25 + -25 = 0
-25 + -30x + -9x2 = 0 + 30x + -30x + 9x2 + -9x2
-25 + -30x + -9x2 = 30x + -30x + 9x2 + -9x2

Combine like terms: 30x + -30x = 0
-25 + -30x + -9x2 = 0 + 9x2 + -9x2
-25 + -30x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-25 + -30x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(25 + 30x + 9x2) = 0

Factor a trinomial.
-1((5 + 3x)(5 + 3x)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 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 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667

Subproblem 2

Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 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 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667

Solution

x = {-1.666666667, -1.666666667}

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