8x(x+3)=9x+27

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Solution for 8x(x+3)=9x+27 equation:


Simplifying
8x(x + 3) = 9x + 27

Reorder the terms:
8x(3 + x) = 9x + 27
(3 * 8x + x * 8x) = 9x + 27
(24x + 8x2) = 9x + 27

Reorder the terms:
24x + 8x2 = 27 + 9x

Solving
24x + 8x2 = 27 + 9x

Solving for variable 'x'.

Reorder the terms:
-27 + 24x + -9x + 8x2 = 27 + 9x + -27 + -9x

Combine like terms: 24x + -9x = 15x
-27 + 15x + 8x2 = 27 + 9x + -27 + -9x

Reorder the terms:
-27 + 15x + 8x2 = 27 + -27 + 9x + -9x

Combine like terms: 27 + -27 = 0
-27 + 15x + 8x2 = 0 + 9x + -9x
-27 + 15x + 8x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-27 + 15x + 8x2 = 0

Factor a trinomial.
(-3 + -1x)(9 + -8x) = 0

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 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 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125

Solution

x = {-3, 1.125}

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