(x+17)(4x+1)=

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Solution for (x+17)(4x+1)= equation:


Simplifying
(x + 17)(4x + 1) = 0

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

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

Multiply (17 + x) * (1 + 4x)
(17(1 + 4x) + x(1 + 4x)) = 0
((1 * 17 + 4x * 17) + x(1 + 4x)) = 0
((17 + 68x) + x(1 + 4x)) = 0
(17 + 68x + (1 * x + 4x * x)) = 0
(17 + 68x + (1x + 4x2)) = 0

Combine like terms: 68x + 1x = 69x
(17 + 69x + 4x2) = 0

Solving
17 + 69x + 4x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17

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 = {-17, -0.25}

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