(5x+4)(x+4)=276

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Solution for (5x+4)(x+4)=276 equation: 


Simplifying
(5x + 4)(x + 4) = 276

Reorder the terms:
(4 + 5x)(x + 4) = 276

Reorder the terms:
(4 + 5x)(4 + x) = 276

Multiply (4 + 5x) * (4 + x)
(4(4 + x) + 5x * (4 + x)) = 276
((4 * 4 + x * 4) + 5x * (4 + x)) = 276
((16 + 4x) + 5x * (4 + x)) = 276
(16 + 4x + (4 * 5x + x * 5x)) = 276
(16 + 4x + (20x + 5x2)) = 276

Combine like terms: 4x + 20x = 24x
(16 + 24x + 5x2) = 276

Solving
16 + 24x + 5x2 = 276

Solving for variable 'x'.

Reorder the terms:
16 + -276 + 24x + 5x2 = 276 + -276

Combine like terms: 16 + -276 = -260
-260 + 24x + 5x2 = 276 + -276

Combine like terms: 276 + -276 = 0
-260 + 24x + 5x2 = 0

Factor a trinomial.
(-10 + -1x)(26 + -5x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(26 + -5x)' equal to zero and attempt to solve:

Simplifying
26 + -5x = 0

Solving
26 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-26' to each side of the equation.
26 + -26 + -5x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -5x = 0 + -26
-5x = 0 + -26

Combine like terms: 0 + -26 = -26
-5x = -26

Divide each side by '-5'.
x = 5.2

Simplifying
x = 5.2
Solution
x = {-10, 5.2}

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