(9x-10)(3x-6)=

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Solution for (9x-10)(3x-6)= equation:


Simplifying
(9x + -10)(3x + -6) = 0

Reorder the terms:
(-10 + 9x)(3x + -6) = 0

Reorder the terms:
(-10 + 9x)(-6 + 3x) = 0

Multiply (-10 + 9x) * (-6 + 3x)
(-10(-6 + 3x) + 9x * (-6 + 3x)) = 0
((-6 * -10 + 3x * -10) + 9x * (-6 + 3x)) = 0
((60 + -30x) + 9x * (-6 + 3x)) = 0
(60 + -30x + (-6 * 9x + 3x * 9x)) = 0
(60 + -30x + (-54x + 27x2)) = 0

Combine like terms: -30x + -54x = -84x
(60 + -84x + 27x2) = 0

Solving
60 + -84x + 27x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(20 + -28x + 9x2) = 0

Factor a trinomial.
3((10 + -9x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {1.111111111, 2}

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