28x^2-9x-1=-4x+2

Simple and best practice solution for 28x^2-9x-1=-4x+2 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 28x^2-9x-1=-4x+2 equation: 


Simplifying
28x2 + -9x + -1 = -4x + 2

Reorder the terms:
-1 + -9x + 28x2 = -4x + 2

Reorder the terms:
-1 + -9x + 28x2 = 2 + -4x

Solving
-1 + -9x + 28x2 = 2 + -4x

Solving for variable 'x'.

Reorder the terms:
-1 + -2 + -9x + 4x + 28x2 = 2 + -4x + -2 + 4x

Combine like terms: -1 + -2 = -3
-3 + -9x + 4x + 28x2 = 2 + -4x + -2 + 4x

Combine like terms: -9x + 4x = -5x
-3 + -5x + 28x2 = 2 + -4x + -2 + 4x

Reorder the terms:
-3 + -5x + 28x2 = 2 + -2 + -4x + 4x

Combine like terms: 2 + -2 = 0
-3 + -5x + 28x2 = 0 + -4x + 4x
-3 + -5x + 28x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + -5x + 28x2 = 0

Factor a trinomial.
(-1 + -4x)(3 + -7x) = 0


Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve:

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 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 + -4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 0 + 1
-4x = 0 + 1

Combine like terms: 0 + 1 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 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 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Solution
x = {-0.25, 0.4285714286}

See similar equations:

| 25+4x=-7(5x+2) | | 7.2=u/1.5 | | 4(x-4)-8= | | 297=(v)(7)+1/2(9.8)(7)^2 | | 3/8y=-15 | | -6n=23/4 | | 101=5(5-8x)+2x | | t-5=71/8 | | F(x)=8x^2+6x+5 | | x+3/7=-1/2 | | 13-3p=-3(2p+1)+p | | 5x+3(x+4)=9x-3-6x | | (4k^2+8k+2)-(2k+3)= | | -6z+8z=-3z+8+7z | | 2-6z=14 | | 6x^3-42x=0 | | -10/2/3 | | 2-6z=10 | | -72-10x=-6x+48 | | -3-2n=4+n+5-5n | | 2/3+7/8 | | n/4=-12 | | 7x^2+5=3x | | -10x-171=5x+84 | | x-3=9+18 | | 2(x+5)=-16 | | 5(2x+7)=-29+24 | | x/2.7+x=0.78 | | y=-x^2+6x-1 | | 1/9y=11 | | c=21+.99x | | 4(m+7)=-8 |

Equations solver categories