5x^2+4x-14=4-5x

Simple and best practice solution for 5x^2+4x-14=4-5x 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 5x^2+4x-14=4-5x equation: 


Simplifying
5x2 + 4x + -14 = 4 + -5x

Reorder the terms:
-14 + 4x + 5x2 = 4 + -5x

Solving
-14 + 4x + 5x2 = 4 + -5x

Solving for variable 'x'.

Reorder the terms:
-14 + -4 + 4x + 5x + 5x2 = 4 + -5x + -4 + 5x

Combine like terms: -14 + -4 = -18
-18 + 4x + 5x + 5x2 = 4 + -5x + -4 + 5x

Combine like terms: 4x + 5x = 9x
-18 + 9x + 5x2 = 4 + -5x + -4 + 5x

Reorder the terms:
-18 + 9x + 5x2 = 4 + -4 + -5x + 5x

Combine like terms: 4 + -4 = 0
-18 + 9x + 5x2 = 0 + -5x + 5x
-18 + 9x + 5x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-18 + 9x + 5x2 = 0

Factor a trinomial.
(-3 + -1x)(6 + -5x) = 0


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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-3, 1.2}

See similar equations:

| 2x+3y+5z=30 | | (2z+1)=0 | | 752=4x+19 | | 5b=0.5 | | 7x+53=3x+85 | | 6A+10=-3A-8 | | (2y+1)(9-y)=0 | | (2x-3)(x+4)-2=20 | | 12=cos(8t) | | -7x^2+14x-21= | | f(x)=4x^3+2x+6 | | 7(p+2)-4=3p+14 | | 24x-22=-4-24x | | 10m-2=-7 | | 6x-2+10=2x-5 | | 18x+36=90 | | 6a+10=3a-8 | | -17c+13=-10 | | -47.28=6(3.4-1.2x) | | 8r+6=18 | | 5xy=A | | 119=7(-3x+5) | | 3(-5x+8)=-126 | | 5w+1=6w-6 | | (5y^2-y+3)-(-5+5y-3y^2)= | | 6k-5=-17 | | xsqaured-2=10 | | 17x-8=3x+13 | | 19+4(x+y)=x | | f(x)=3x^2-2x-1 | | 3x+4y=588 | | 25x-36=-144 |

Equations solver categories