(6x+1)(9x+8x+2)=

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Solution for (6x+1)(9x+8x+2)= equation:


Simplifying
(6x + 1)(9x + 8x + 2) = 0

Reorder the terms:
(1 + 6x)(9x + 8x + 2) = 0

Reorder the terms:
(1 + 6x)(2 + 9x + 8x) = 0

Combine like terms: 9x + 8x = 17x
(1 + 6x)(2 + 17x) = 0

Multiply (1 + 6x) * (2 + 17x)
(1(2 + 17x) + 6x * (2 + 17x)) = 0
((2 * 1 + 17x * 1) + 6x * (2 + 17x)) = 0
((2 + 17x) + 6x * (2 + 17x)) = 0
(2 + 17x + (2 * 6x + 17x * 6x)) = 0
(2 + 17x + (12x + 102x2)) = 0

Combine like terms: 17x + 12x = 29x
(2 + 29x + 102x2) = 0

Solving
2 + 29x + 102x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + 6x)(2 + 17x) = 0

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 '(2 + 17x)' equal to zero and attempt to solve: Simplifying 2 + 17x = 0 Solving 2 + 17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 17x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 17x = 0 + -2 17x = 0 + -2 Combine like terms: 0 + -2 = -2 17x = -2 Divide each side by '17'. x = -0.1176470588 Simplifying x = -0.1176470588

Solution

x = {-0.1666666667, -0.1176470588}

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