(9x-10)(3x+8)=

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Solution for (9x-10)(3x+8)= equation:


Simplifying
(9x + -10)(3x + 8) = 0

Reorder the terms:
(-10 + 9x)(3x + 8) = 0

Reorder the terms:
(-10 + 9x)(8 + 3x) = 0

Multiply (-10 + 9x) * (8 + 3x)
(-10(8 + 3x) + 9x * (8 + 3x)) = 0
((8 * -10 + 3x * -10) + 9x * (8 + 3x)) = 0
((-80 + -30x) + 9x * (8 + 3x)) = 0
(-80 + -30x + (8 * 9x + 3x * 9x)) = 0
(-80 + -30x + (72x + 27x2)) = 0

Combine like terms: -30x + 72x = 42x
(-80 + 42x + 27x2) = 0

Solving
-80 + 42x + 27x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(10 + -9x) = 0

Subproblem 1

Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667

Subproblem 2

Set the factor '(10 + -9x)' equal to zero and attempt to solve: Simplifying 10 + -9x = 0 Solving 10 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 0 + -10 -9x = 0 + -10 Combine like terms: 0 + -10 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111

Solution

x = {-2.666666667, 1.111111111}

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