10x^2-19x-31=10(x-1)

Simple and best practice solution for 10x^2-19x-31=10(x-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 10x^2-19x-31=10(x-1) equation:


Simplifying
10x2 + -19x + -31 = 10(x + -1)

Reorder the terms:
-31 + -19x + 10x2 = 10(x + -1)

Reorder the terms:
-31 + -19x + 10x2 = 10(-1 + x)
-31 + -19x + 10x2 = (-1 * 10 + x * 10)
-31 + -19x + 10x2 = (-10 + 10x)

Solving
-31 + -19x + 10x2 = -10 + 10x

Solving for variable 'x'.

Reorder the terms:
-31 + 10 + -19x + -10x + 10x2 = -10 + 10x + 10 + -10x

Combine like terms: -31 + 10 = -21
-21 + -19x + -10x + 10x2 = -10 + 10x + 10 + -10x

Combine like terms: -19x + -10x = -29x
-21 + -29x + 10x2 = -10 + 10x + 10 + -10x

Reorder the terms:
-21 + -29x + 10x2 = -10 + 10 + 10x + -10x

Combine like terms: -10 + 10 = 0
-21 + -29x + 10x2 = 0 + 10x + -10x
-21 + -29x + 10x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-21 + -29x + 10x2 = 0

Factor a trinomial.
(-3 + -5x)(7 + -2x) = 0


Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-0.6, 3.5}

See similar equations:

| 125m-75m+38800=40000-150 | | 5(x/3-1)=-7 | | x^5+y^2=36 | | 1/2t+9=7 | | -w/5=-45 | | -10x+14=19 | | 4(x+y)+y+2(y+5)+6x=1 | | 12(v+1)-3v=3(v+4)-16 | | 2(42-1)=3(2+2) | | 3(x+6)=3(x+5) | | -3(r+5)=-44 | | 1/5x-1/3x=-1 | | (x^2/3)^6 | | 4x+5x-10x=45 | | -4(1+n)=20 | | -13k=195 | | y=2x^3+3x^2-12x | | 5(x+11)=10x | | 3(x+6)=17 | | 10x^2-9x-41=0 | | -3+[-4]-(7+3y)= | | -10+14=19 | | 6(2x)= | | -(4+2x)+9=-6x+1 | | 3(4+x)=5x+8 | | -3(m+1)=-33 | | 5r+15=2.25 | | -8-6x=16 | | -9x+14=2x-8 | | c=.41+.26(z-1) | | 1/2(4x-8)=-2 | | b=80+(20+6) |

Equations solver categories