(8x+3)(x+9)=0

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Solution for (8x+3)(x+9)=0 equation:


Simplifying
(8x + 3)(x + 9) = 0

Reorder the terms:
(3 + 8x)(x + 9) = 0

Reorder the terms:
(3 + 8x)(9 + x) = 0

Multiply (3 + 8x) * (9 + x)
(3(9 + x) + 8x * (9 + x)) = 0
((9 * 3 + x * 3) + 8x * (9 + x)) = 0
((27 + 3x) + 8x * (9 + x)) = 0
(27 + 3x + (9 * 8x + x * 8x)) = 0
(27 + 3x + (72x + 8x2)) = 0

Combine like terms: 3x + 72x = 75x
(27 + 75x + 8x2) = 0

Solving
27 + 75x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + x)(3 + 8x) = 0

Subproblem 1

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Subproblem 2

Set the factor '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 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 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375

Solution

x = {-9, -0.375}

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