abs(-7x+4)=abs(x^2-9)

Simple and best practice solution for abs(-7x+4)=abs(x^2-9) 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 abs(-7x+4)=abs(x^2-9) equation:


Simplifying
abs(-7x + 4) = abs(x2 + -9)

Reorder the terms:
abs(4 + -7x) = abs(x2 + -9)
(4 * abs + -7x * abs) = abs(x2 + -9)
(4abs + -7absx) = abs(x2 + -9)

Reorder the terms:
4abs + -7absx = abs(-9 + x2)
4abs + -7absx = (-9 * abs + x2 * abs)
4abs + -7absx = (-9abs + absx2)

Solving
4abs + -7absx = -9abs + absx2

Solving for variable 'a'.

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

Add '9abs' to each side of the equation.
4abs + 9abs + -7absx = -9abs + 9abs + absx2

Combine like terms: 4abs + 9abs = 13abs
13abs + -7absx = -9abs + 9abs + absx2

Combine like terms: -9abs + 9abs = 0
13abs + -7absx = 0 + absx2
13abs + -7absx = absx2

Add '-1absx2' to each side of the equation.
13abs + -7absx + -1absx2 = absx2 + -1absx2

Combine like terms: absx2 + -1absx2 = 0
13abs + -7absx + -1absx2 = 0

Factor out the Greatest Common Factor (GCF), 'abs'.
abs(13 + -7x + -1x2) = 0

Subproblem 1

Set the factor 'abs' equal to zero and attempt to solve: Simplifying abs = 0 Solving abs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abs = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(13 + -7x + -1x2)' equal to zero and attempt to solve: Simplifying 13 + -7x + -1x2 = 0 Solving 13 + -7x + -1x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -7x + -13 + -1x2 = 0 + -13 Reorder the terms: 13 + -13 + -7x + -1x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -7x + -1x2 = 0 + -13 -7x + -1x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -7x + -1x2 = -13 Add '7x' to each side of the equation. -7x + 7x + -1x2 = -13 + 7x Combine like terms: -7x + 7x = 0 0 + -1x2 = -13 + 7x -1x2 = -13 + 7x Add 'x2' to each side of the equation. -1x2 + x2 = -13 + 7x + x2 Combine like terms: -1x2 + x2 = 0 0 = -13 + 7x + x2 Simplifying 0 = -13 + 7x + x2 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:

| 10k= | | 4c-7=7x-13 | | 2(2.3x-3.2)=9.7 | | h=-16x+64 | | 4.7x-1.4=17.85 | | m/3.6=-1.2 | | 3cosx-4sinx-1=0 | | 19*c-7=52 | | 1/5:x::1/20:3 | | T(10-T)= | | 7(2x+1)+5x=3(8x-3) | | 1.1x+3.7=8.1 | | M(M-3)= | | 4x-7=x+2(x-1) | | 50000/(20-12) | | 50000/(20-8) | | -2y+3=-4-10y+11 | | 51*12-427=185 | | 2w*3w= | | 3x-24=-47+5x+3 | | 50000/(p-12) | | ln(y)-ln(5)=ln(y/5) | | 2*x^2-2=70 | | X/4-20=-30 | | 50000=(p-12) | | 7*(2y/5)-3y=1 | | (4x-3)(2x+3)-8x(x-4)=0 | | x^3=86 | | X^7-40=0 | | x^4=-x^2+2 | | x=666343149 | | 3x+4=14-4x |

Equations solver categories