(6x+1)(6x-9)=

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Solution for (6x+1)(6x-9)= equation:


Simplifying
(6x + 1)(6x + -9) = 0

Reorder the terms:
(1 + 6x)(6x + -9) = 0

Reorder the terms:
(1 + 6x)(-9 + 6x) = 0

Multiply (1 + 6x) * (-9 + 6x)
(1(-9 + 6x) + 6x * (-9 + 6x)) = 0
((-9 * 1 + 6x * 1) + 6x * (-9 + 6x)) = 0
((-9 + 6x) + 6x * (-9 + 6x)) = 0
(-9 + 6x + (-9 * 6x + 6x * 6x)) = 0
(-9 + 6x + (-54x + 36x2)) = 0

Combine like terms: 6x + -54x = -48x
(-9 + -48x + 36x2) = 0

Solving
-9 + -48x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + -16x + 12x2) = 0

Factor a trinomial.
3((-1 + -6x)(3 + -2x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -6x)' equal to zero and attempt to solve: Simplifying -1 + -6x = 0 Solving -1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 0 + 1 -6x = 0 + 1 Combine like terms: 0 + 1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-0.1666666667, 1.5}

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