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

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


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

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

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

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

Combine like terms: 8x + 4x = 12x
(4 + 12x + 8x2) = 0

Solving
4 + 12x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 3x + 2x2) = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5

Solution

x = {-1, -0.5}

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