(5x-33)(6x-4)=

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Solution for (5x-33)(6x-4)= equation:


Simplifying
(5x + -33)(6x + -4) = 0

Reorder the terms:
(-33 + 5x)(6x + -4) = 0

Reorder the terms:
(-33 + 5x)(-4 + 6x) = 0

Multiply (-33 + 5x) * (-4 + 6x)
(-33(-4 + 6x) + 5x * (-4 + 6x)) = 0
((-4 * -33 + 6x * -33) + 5x * (-4 + 6x)) = 0
((132 + -198x) + 5x * (-4 + 6x)) = 0
(132 + -198x + (-4 * 5x + 6x * 5x)) = 0
(132 + -198x + (-20x + 30x2)) = 0

Combine like terms: -198x + -20x = -218x
(132 + -218x + 30x2) = 0

Solving
132 + -218x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(66 + -109x + 15x2) = 0

Factor a trinomial.
2((2 + -3x)(33 + -5x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Subproblem 2

Set the factor '(33 + -5x)' equal to zero and attempt to solve: Simplifying 33 + -5x = 0 Solving 33 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -5x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -5x = 0 + -33 -5x = 0 + -33 Combine like terms: 0 + -33 = -33 -5x = -33 Divide each side by '-5'. x = 6.6 Simplifying x = 6.6

Solution

x = {0.6666666667, 6.6}

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