(x+13)(4x+1)=

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Solution for (x+13)(4x+1)= equation:


Simplifying
(x + 13)(4x + 1) = 0

Reorder the terms:
(13 + x)(4x + 1) = 0

Reorder the terms:
(13 + x)(1 + 4x) = 0

Multiply (13 + x) * (1 + 4x)
(13(1 + 4x) + x(1 + 4x)) = 0
((1 * 13 + 4x * 13) + x(1 + 4x)) = 0
((13 + 52x) + x(1 + 4x)) = 0
(13 + 52x + (1 * x + 4x * x)) = 0
(13 + 52x + (1x + 4x2)) = 0

Combine like terms: 52x + 1x = 53x
(13 + 53x + 4x2) = 0

Solving
13 + 53x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(13 + x)(1 + 4x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25

Solution

x = {-13, -0.25}

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