(4x+1)(2x+23)=

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Solution for (4x+1)(2x+23)= equation:


Simplifying
(4x + 1)(2x + 23) = 0

Reorder the terms:
(1 + 4x)(2x + 23) = 0

Reorder the terms:
(1 + 4x)(23 + 2x) = 0

Multiply (1 + 4x) * (23 + 2x)
(1(23 + 2x) + 4x * (23 + 2x)) = 0
((23 * 1 + 2x * 1) + 4x * (23 + 2x)) = 0
((23 + 2x) + 4x * (23 + 2x)) = 0
(23 + 2x + (23 * 4x + 2x * 4x)) = 0
(23 + 2x + (92x + 8x2)) = 0

Combine like terms: 2x + 92x = 94x
(23 + 94x + 8x2) = 0

Solving
23 + 94x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(23 + 2x)(1 + 4x) = 0

Subproblem 1

Set the factor '(23 + 2x)' equal to zero and attempt to solve: Simplifying 23 + 2x = 0 Solving 23 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 0 + -23 2x = 0 + -23 Combine like terms: 0 + -23 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5

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 = {-11.5, -0.25}

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