x^2-10x-14=4x+1

Simple and best practice solution for x^2-10x-14=4x+1 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^2-10x-14=4x+1 equation: 


Simplifying
x2 + -10x + -14 = 4x + 1

Reorder the terms:
-14 + -10x + x2 = 4x + 1

Reorder the terms:
-14 + -10x + x2 = 1 + 4x

Solving
-14 + -10x + x2 = 1 + 4x

Solving for variable 'x'.

Reorder the terms:
-14 + -1 + -10x + -4x + x2 = 1 + 4x + -1 + -4x

Combine like terms: -14 + -1 = -15
-15 + -10x + -4x + x2 = 1 + 4x + -1 + -4x

Combine like terms: -10x + -4x = -14x
-15 + -14x + x2 = 1 + 4x + -1 + -4x

Reorder the terms:
-15 + -14x + x2 = 1 + -1 + 4x + -4x

Combine like terms: 1 + -1 = 0
-15 + -14x + x2 = 0 + 4x + -4x
-15 + -14x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + -14x + x2 = 0

Factor a trinomial.
(-1 + -1x)(15 + -1x) = 0


Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-1, 15}

See similar equations:

| 3x-14=160-8x | | 11=f/3 | | 4.4+4.3=165.28 | | X-6y-6=0 | | 67+2.5x=1.75 | | 0.298mL=L | | 2nsquared-2n-24=0 | | E^3x+3=6 | | 67+25x=1.75 | | -4j--5/-7=13 | | 0y=27 | | 12s-3=51 | | 4x-8=7x-9 | | -2rx-7(r-7)=112 | | x^2-6=X-3 | | 9x+0y=27 | | 100y+x-5=200x+2y | | x^2+9=x-3 | | 9x+2y=-13 | | 9b+19=-35 | | -3(2x-5)-10=-1 | | 43m+13=5m+62 | | 21+0.5=15+11 | | x^2-9=x-3 | | 86=2+6(8+2x) | | 64=8(r+1) | | 10x-16y=-12 | | 7z-4-2z=6 | | 1/3x-1/2x(x-1/3x)=x-60 | | x+5(-3x-2)=-122 | | 4x+37=x+16 | | 21h=7(h+2) |

Equations solver categories