(13x+11)*(7x+41)=0

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Solution for (13x+11)*(7x+41)=0 equation:


Simplifying
(13x + 11)(7x + 41) = 0

Reorder the terms:
(11 + 13x)(7x + 41) = 0

Reorder the terms:
(11 + 13x)(41 + 7x) = 0

Multiply (11 + 13x) * (41 + 7x)
(11(41 + 7x) + 13x * (41 + 7x)) = 0
((41 * 11 + 7x * 11) + 13x * (41 + 7x)) = 0
((451 + 77x) + 13x * (41 + 7x)) = 0
(451 + 77x + (41 * 13x + 7x * 13x)) = 0
(451 + 77x + (533x + 91x2)) = 0

Combine like terms: 77x + 533x = 610x
(451 + 610x + 91x2) = 0

Solving
451 + 610x + 91x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(41 + 7x)(11 + 13x) = 0

Subproblem 1

Set the factor '(41 + 7x)' equal to zero and attempt to solve: Simplifying 41 + 7x = 0 Solving 41 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 7x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 7x = 0 + -41 7x = 0 + -41 Combine like terms: 0 + -41 = -41 7x = -41 Divide each side by '7'. x = -5.857142857 Simplifying x = -5.857142857

Subproblem 2

Set the factor '(11 + 13x)' equal to zero and attempt to solve: Simplifying 11 + 13x = 0 Solving 11 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 13x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 13x = 0 + -11 13x = 0 + -11 Combine like terms: 0 + -11 = -11 13x = -11 Divide each side by '13'. x = -0.8461538462 Simplifying x = -0.8461538462

Solution

x = {-5.857142857, -0.8461538462}

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