(6X-1)(-5-4X)=

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Solution for (6X-1)(-5-4X)= equation:


Simplifying
(6X + -1)(-5 + -4X) = 0

Reorder the terms:
(-1 + 6X)(-5 + -4X) = 0

Multiply (-1 + 6X) * (-5 + -4X)
(-1(-5 + -4X) + 6X * (-5 + -4X)) = 0
((-5 * -1 + -4X * -1) + 6X * (-5 + -4X)) = 0
((5 + 4X) + 6X * (-5 + -4X)) = 0
(5 + 4X + (-5 * 6X + -4X * 6X)) = 0
(5 + 4X + (-30X + -24X2)) = 0

Combine like terms: 4X + -30X = -26X
(5 + -26X + -24X2) = 0

Solving
5 + -26X + -24X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(1 + -6X)(5 + 4X) = 0

Subproblem 1

Set the factor '(1 + -6X)' equal to zero and attempt to solve: Simplifying 1 + -6X = 0 Solving 1 + -6X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6X = 0 + -1 -6X = 0 + -1 Combine like terms: 0 + -1 = -1 -6X = -1 Divide each side by '-6'. X = 0.1666666667 Simplifying X = 0.1666666667

Subproblem 2

Set the factor '(5 + 4X)' equal to zero and attempt to solve: Simplifying 5 + 4X = 0 Solving 5 + 4X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4X = 0 + -5 4X = 0 + -5 Combine like terms: 0 + -5 = -5 4X = -5 Divide each side by '4'. X = -1.25 Simplifying X = -1.25

Solution

X = {0.1666666667, -1.25}

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