(x+4)(x+4)=7

Simple and best practice solution for (x+4)(x+4)=7 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (x+4)(x+4)=7 equation:


Simplifying
(x + 4)(x + 4) = 7

Reorder the terms:
(4 + x)(x + 4) = 7

Reorder the terms:
(4 + x)(4 + x) = 7

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) = 7
((4 * 4 + x * 4) + x(4 + x)) = 7
((16 + 4x) + x(4 + x)) = 7
(16 + 4x + (4 * x + x * x)) = 7
(16 + 4x + (4x + x2)) = 7

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) = 7

Solving
16 + 8x + x2 = 7

Solving for variable 'x'.

Reorder the terms:
16 + -7 + 8x + x2 = 7 + -7

Combine like terms: 16 + -7 = 9
9 + 8x + x2 = 7 + -7

Combine like terms: 7 + -7 = 0
9 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 8x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + 8x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 8x + x2 = 0 + -9
8x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
8x + x2 = -9

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -9 + 16

Reorder the terms:
16 + 8x + x2 = -9 + 16

Combine like terms: -9 + 16 = 7
16 + 8x + x2 = 7

Factor a perfect square on the left side:
(x + 4)(x + 4) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(x + 4) equal to 2.645751311 and -2.645751311.

Subproblem 1

x + 4 = 2.645751311 Simplifying x + 4 = 2.645751311 Reorder the terms: 4 + x = 2.645751311 Solving 4 + x = 2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 2.645751311 + -4 Combine like terms: 4 + -4 = 0 0 + x = 2.645751311 + -4 x = 2.645751311 + -4 Combine like terms: 2.645751311 + -4 = -1.354248689 x = -1.354248689 Simplifying x = -1.354248689

Subproblem 2

x + 4 = -2.645751311 Simplifying x + 4 = -2.645751311 Reorder the terms: 4 + x = -2.645751311 Solving 4 + x = -2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = -2.645751311 + -4 Combine like terms: 4 + -4 = 0 0 + x = -2.645751311 + -4 x = -2.645751311 + -4 Combine like terms: -2.645751311 + -4 = -6.645751311 x = -6.645751311 Simplifying x = -6.645751311

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-1.354248689, -6.645751311}

See similar equations:

| 24=3n+8-3 | | 4-2x/3x-6 | | 0.3(x+3)-0.16=0.16(2x+5) | | 0.3(x+3)-0.6=0.6(2x+5) | | 3x+6y+10=0 | | x-7.3=-6.2 | | 12x=9-18+15 | | -x-8/3=2x+6/4 | | 12(x+5)=-3(-30) | | 1+5p=4+5p | | x^2-3x=31 | | 5a-(8-a)=42-10 | | -3(0)+9y=-27 | | z/-12+54=38 | | 2b+11b/5=21/4 | | -3x+9(0)=-27 | | 7x=203 | | 3n+3=75 | | -1.5x+33x-75=52.5 | | 3-4x=-4x+3 | | .66(x-3)+6=.16(4x+24) | | x=0.5+-2y | | 3n+6=-453 | | -10x-9(0)=90 | | P-1/4x3=-5/6 | | by-d=ay+c | | (3^2/4y^-3)^2 | | 36=2(w+3+2w) | | 84(y-15)=y+(-55) | | 36=(w+3+2w) | | d=6h | | 2x-1/2=8 |

Equations solver categories