(8x+19)(9x+9)=

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Solution for (8x+19)(9x+9)= equation:


Simplifying
(8x + 19)(9x + 9) = 0

Reorder the terms:
(19 + 8x)(9x + 9) = 0

Reorder the terms:
(19 + 8x)(9 + 9x) = 0

Multiply (19 + 8x) * (9 + 9x)
(19(9 + 9x) + 8x * (9 + 9x)) = 0
((9 * 19 + 9x * 19) + 8x * (9 + 9x)) = 0
((171 + 171x) + 8x * (9 + 9x)) = 0
(171 + 171x + (9 * 8x + 9x * 8x)) = 0
(171 + 171x + (72x + 72x2)) = 0

Combine like terms: 171x + 72x = 243x
(171 + 243x + 72x2) = 0

Solving
171 + 243x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(19 + 27x + 8x2) = 0

Factor a trinomial.
9((19 + 8x)(1 + x)) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(19 + 8x)' equal to zero and attempt to solve: Simplifying 19 + 8x = 0 Solving 19 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 8x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8x = 0 + -19 8x = 0 + -19 Combine like terms: 0 + -19 = -19 8x = -19 Divide each side by '8'. x = -2.375 Simplifying x = -2.375

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-2.375, -1}

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