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

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


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

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

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

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

Combine like terms: 8x + 1x = 9x
(4 + 9x + 2x2) = 4

Add '-4' to each side of the equation.
4 + 9x + -4 + 2x2 = 4 + -4

Reorder the terms:
4 + -4 + 9x + 2x2 = 4 + -4

Combine like terms: 4 + -4 = 0
0 + 9x + 2x2 = 4 + -4
9x + 2x2 = 4 + -4

Combine like terms: 4 + -4 = 0
9x + 2x2 = 0

Solving
9x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + 2x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5

Solution

x = {0, -4.5}

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