8x^2-16x-71=-7

Simple and best practice solution for 8x^2-16x-71=-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 8x^2-16x-71=-7 equation:


Simplifying
8x2 + -16x + -71 = -7

Reorder the terms:
-71 + -16x + 8x2 = -7

Solving
-71 + -16x + 8x2 = -7

Solving for variable 'x'.

Reorder the terms:
-71 + 7 + -16x + 8x2 = -7 + 7

Combine like terms: -71 + 7 = -64
-64 + -16x + 8x2 = -7 + 7

Combine like terms: -7 + 7 = 0
-64 + -16x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-8 + -2x + x2) = 0

Factor a trinomial.
8((-2 + -1x)(4 + -1x)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-2, 4}

See similar equations:

| cosx+3x^2+1=0 | | 4y/5=16 | | -x-1=-1.5x | | x-12y=19 | | 10/7=5v | | 2y+6(-3)=0 | | 6x+3e^3x=0 | | 6(2x+7)=33 | | Log(3)(2x)=9 | | 4(7x+6)=-144 | | 2+6-3q=1*2 | | (4n+1)(4n-1)=0 | | 1+6-3q=1*1 | | 0+6-3q=1*0 | | 4-2(x+3)=2x+6 | | 6-3q=1 | | x=3(0.6x) | | 6a=4a+9 | | x=2(8.0x) | | x=7(2.5x) | | x=10(3.2x) | | y/5-1x20 | | (x^8+5)*(x^12+7)=0 | | 2s=700 | | y/5-1x15 | | 3(3x-7)=26 | | 5x+18=3x+32 | | 2≥​y/5​​−1 | | (2-5x)x(x-6)x(x+1)=0 | | 9x=642 | | (2-5x)*(x-6)*(x+1)=0 | | 2(-3)+6=0 |

Equations solver categories