(5-x)(2-6x)=0

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Solution for (5-x)(2-6x)=0 equation:


Simplifying
(5 + -1x)(2 + -6x) = 0

Multiply (5 + -1x) * (2 + -6x)
(5(2 + -6x) + -1x * (2 + -6x)) = 0
((2 * 5 + -6x * 5) + -1x * (2 + -6x)) = 0
((10 + -30x) + -1x * (2 + -6x)) = 0
(10 + -30x + (2 * -1x + -6x * -1x)) = 0
(10 + -30x + (-2x + 6x2)) = 0

Combine like terms: -30x + -2x = -32x
(10 + -32x + 6x2) = 0

Solving
10 + -32x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -16x + 3x2) = 0

Factor a trinomial.
2((1 + -3x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {0.3333333333, 5}

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