(9x+5)(6x+10)=

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Solution for (9x+5)(6x+10)= equation:


Simplifying
(9x + 5)(6x + 10) = 0

Reorder the terms:
(5 + 9x)(6x + 10) = 0

Reorder the terms:
(5 + 9x)(10 + 6x) = 0

Multiply (5 + 9x) * (10 + 6x)
(5(10 + 6x) + 9x * (10 + 6x)) = 0
((10 * 5 + 6x * 5) + 9x * (10 + 6x)) = 0
((50 + 30x) + 9x * (10 + 6x)) = 0
(50 + 30x + (10 * 9x + 6x * 9x)) = 0
(50 + 30x + (90x + 54x2)) = 0

Combine like terms: 30x + 90x = 120x
(50 + 120x + 54x2) = 0

Solving
50 + 120x + 54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + 60x + 27x2) = 0

Factor a trinomial.
2((5 + 3x)(5 + 9x)) = 0

Ignore the factor 2.

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 + 9x)' equal to zero and attempt to solve: Simplifying 5 + 9x = 0 Solving 5 + 9x = 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 + 9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 0 + -5 9x = 0 + -5 Combine like terms: 0 + -5 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556

Solution

x = {-1.666666667, -0.5555555556}

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