4x^2-15x+9=-6x+7

Simple and best practice solution for 4x^2-15x+9=-6x+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 4x^2-15x+9=-6x+7 equation: 


Simplifying
4x2 + -15x + 9 = -6x + 7

Reorder the terms:
9 + -15x + 4x2 = -6x + 7

Reorder the terms:
9 + -15x + 4x2 = 7 + -6x

Solving
9 + -15x + 4x2 = 7 + -6x

Solving for variable 'x'.

Reorder the terms:
9 + -7 + -15x + 6x + 4x2 = 7 + -6x + -7 + 6x

Combine like terms: 9 + -7 = 2
2 + -15x + 6x + 4x2 = 7 + -6x + -7 + 6x

Combine like terms: -15x + 6x = -9x
2 + -9x + 4x2 = 7 + -6x + -7 + 6x

Reorder the terms:
2 + -9x + 4x2 = 7 + -7 + -6x + 6x

Combine like terms: 7 + -7 = 0
2 + -9x + 4x2 = 0 + -6x + 6x
2 + -9x + 4x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
2 + -9x + 4x2 = 0

Factor a trinomial.
(1 + -4x)(2 + -1x) = 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 '(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
Solution
x = {0.25, 2}

See similar equations:

| -x-6x-x= | | 3(a+6)-2a=a+18 | | -28=-6x+2(x-4) | | 16t-16t= | | 2b+4g=54 | | x^2+3x+8=-8x-2 | | 5-7x=65-21x | | x^2+3x-6=4 | | 4(3-2.5k)+16=-6k | | 8p^2q+12p= | | 10n=4+9n | | 0.3333333x=7-0.6666666x | | 0.3333333x=7-0.6666666 | | 5x+13=23-7x | | 8p^2+12p^4= | | 6.99(n+6)+10.99(n)= | | 2z+3= | | -10-5x=4x+21 | | -3y-14=9y+22 | | 2(4x-2.8)=2x-5.6 | | -6x-33=71-2x | | 6=NJ+k | | -181-5x=6x+94 | | x^2+4x-k=0 | | -9(-7xy)= | | -49-6x=29-9x | | -4(k+7)+4k= | | 9(y-1)=4y+21 | | P=6t^6ln(5t) | | 6x-8x+7x-9x= | | 10x-184=x+59 | | 3p-4=-1 |

Equations solver categories