(x+4)(x+4)=49

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Solution for (x+4)(x+4)=49 equation:


Simplifying
(x + 4)(x + 4) = 49

Reorder the terms:
(4 + x)(x + 4) = 49

Reorder the terms:
(4 + x)(4 + x) = 49

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) = 49
((4 * 4 + x * 4) + x(4 + x)) = 49
((16 + 4x) + x(4 + x)) = 49
(16 + 4x + (4 * x + x * x)) = 49
(16 + 4x + (4x + x2)) = 49

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) = 49

Solving
16 + 8x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
16 + -49 + 8x + x2 = 49 + -49

Combine like terms: 16 + -49 = -33
-33 + 8x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-33 + 8x + x2 = 0

Factor a trinomial.
(-11 + -1x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-11, 3}

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