x^2-8x-29=(x+a)(x+a)+b

Simple and best practice solution for x^2-8x-29=(x+a)(x+a)+b 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^2-8x-29=(x+a)(x+a)+b equation:


Simplifying
x2 + -8x + -29 = (x + a)(x + a) + b

Reorder the terms:
-29 + -8x + x2 = (x + a)(x + a) + b

Reorder the terms:
-29 + -8x + x2 = (a + x)(x + a) + b

Reorder the terms:
-29 + -8x + x2 = (a + x)(a + x) + b

Multiply (a + x) * (a + x)
-29 + -8x + x2 = (a(a + x) + x(a + x)) + b
-29 + -8x + x2 = ((a * a + x * a) + x(a + x)) + b

Reorder the terms:
-29 + -8x + x2 = ((ax + a2) + x(a + x)) + b
-29 + -8x + x2 = ((ax + a2) + x(a + x)) + b
-29 + -8x + x2 = (ax + a2 + (a * x + x * x)) + b
-29 + -8x + x2 = (ax + a2 + (ax + x2)) + b

Reorder the terms:
-29 + -8x + x2 = (ax + ax + a2 + x2) + b

Combine like terms: ax + ax = 2ax
-29 + -8x + x2 = (2ax + a2 + x2) + b

Reorder the terms:
-29 + -8x + x2 = 2ax + a2 + b + x2

Add '-1x2' to each side of the equation.
-29 + -8x + x2 + -1x2 = 2ax + a2 + b + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-29 + -8x + 0 = 2ax + a2 + b + x2 + -1x2
-29 + -8x = 2ax + a2 + b + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-29 + -8x = 2ax + a2 + b + 0
-29 + -8x = 2ax + a2 + b

Solving
-29 + -8x = 2ax + a2 + b

Solving for variable 'x'.

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

Add '-2ax' to each side of the equation.
-29 + -2ax + -8x = 2ax + a2 + -2ax + b

Reorder the terms:
-29 + -2ax + -8x = 2ax + -2ax + a2 + b

Combine like terms: 2ax + -2ax = 0
-29 + -2ax + -8x = 0 + a2 + b
-29 + -2ax + -8x = a2 + b

Add '29' to each side of the equation.
-29 + -2ax + 29 + -8x = a2 + 29 + b

Reorder the terms:
-29 + 29 + -2ax + -8x = a2 + 29 + b

Combine like terms: -29 + 29 = 0
0 + -2ax + -8x = a2 + 29 + b
-2ax + -8x = a2 + 29 + b

Reorder the terms:
-2ax + -8x = 29 + a2 + b

Reorder the terms:
-29 + -2ax + -1a2 + -1b + -8x = 29 + a2 + b + -29 + -1a2 + -1b

Reorder the terms:
-29 + -2ax + -1a2 + -1b + -8x = 29 + -29 + a2 + -1a2 + b + -1b

Combine like terms: 29 + -29 = 0
-29 + -2ax + -1a2 + -1b + -8x = 0 + a2 + -1a2 + b + -1b
-29 + -2ax + -1a2 + -1b + -8x = a2 + -1a2 + b + -1b

Combine like terms: a2 + -1a2 = 0
-29 + -2ax + -1a2 + -1b + -8x = 0 + b + -1b
-29 + -2ax + -1a2 + -1b + -8x = b + -1b

Combine like terms: b + -1b = 0
-29 + -2ax + -1a2 + -1b + -8x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(29 + 2ax + a2 + b + 8x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(29 + 2ax + a2 + b + 8x)' equal to zero and attempt to solve: Simplifying 29 + 2ax + a2 + b + 8x = 0 Solving 29 + 2ax + a2 + b + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + 2ax + a2 + b + -29 + 8x = 0 + -29 Reorder the terms: 29 + -29 + 2ax + a2 + b + 8x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 2ax + a2 + b + 8x = 0 + -29 2ax + a2 + b + 8x = 0 + -29 Combine like terms: 0 + -29 = -29 2ax + a2 + b + 8x = -29 Add '-1a2' to each side of the equation. 2ax + a2 + b + -1a2 + 8x = -29 + -1a2 Reorder the terms: 2ax + a2 + -1a2 + b + 8x = -29 + -1a2 Combine like terms: a2 + -1a2 = 0 2ax + 0 + b + 8x = -29 + -1a2 2ax + b + 8x = -29 + -1a2 Add '-1b' to each side of the equation. 2ax + b + -1b + 8x = -29 + -1a2 + -1b Combine like terms: b + -1b = 0 2ax + 0 + 8x = -29 + -1a2 + -1b 2ax + 8x = -29 + -1a2 + -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 7-k=1 | | -(2+w)=2 | | 7x-(8x+2)=2x-50 | | |6X-8|=2 | | 7y+2y=3 | | -1-5(-8z-1)=-6(-6z+5)+3 | | 5=5(-21)+4 | | 19-10j=-11 | | 20-3x/8+5x+4/12=3 | | 3=5(-19)+4 | | 8y^2+24y-80=0 | | 14/11= | | -2.3-4.2r=-37.58 | | 4x^2-42x+45=0 | | 5=-5(-29)+4 | | 6(z-7)=3 | | -8x+14=-2[4x-7] | | 7z=-35 | | -0.75(z+0.17)=0.2(z-0.375) | | 8a-9a=7a-6 | | 2x-3x=-4 | | 2=-5(14)+4 | | 5.3-2.1x=-8.14 | | 4.1m-8.6=2.47 | | -56=6(p+4)-4(1-8p) | | 2(1+2x)=3(x-3) | | 7x+3y=11x-5y | | -0.03-0.9w=2.4 | | 5-c=8 | | 1/3(y+2)=3y-5(y-2) | | 0.05x+0.037=0.262 | | 6x-(3x-4)=14 |

Equations solver categories