-4x^2=7-27x

Simple and best practice solution for -4x^2=7-27x 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=7-27x equation:


Simplifying
-4x2 = 7 + -27x

Solving
-4x2 = 7 + -27x

Solving for variable 'x'.

Reorder the terms:
-7 + 27x + -4x2 = 7 + -27x + -7 + 27x

Reorder the terms:
-7 + 27x + -4x2 = 7 + -7 + -27x + 27x

Combine like terms: 7 + -7 = 0
-7 + 27x + -4x2 = 0 + -27x + 27x
-7 + 27x + -4x2 = -27x + 27x

Combine like terms: -27x + 27x = 0
-7 + 27x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.75 + -6.75x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -6.75x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -6.75x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -6.75x + x2 = 0 + -1.75
-6.75x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-6.75x + x2 = -1.75

The x term is -6.75x.  Take half its coefficient (-3.375).
Square it (11.390625) and add it to both sides.

Add '11.390625' to each side of the equation.
-6.75x + 11.390625 + x2 = -1.75 + 11.390625

Reorder the terms:
11.390625 + -6.75x + x2 = -1.75 + 11.390625

Combine like terms: -1.75 + 11.390625 = 9.640625
11.390625 + -6.75x + x2 = 9.640625

Factor a perfect square on the left side:
(x + -3.375)(x + -3.375) = 9.640625

Calculate the square root of the right side: 3.104935587

Break this problem into two subproblems by setting 
(x + -3.375) equal to 3.104935587 and -3.104935587.

Subproblem 1

x + -3.375 = 3.104935587 Simplifying x + -3.375 = 3.104935587 Reorder the terms: -3.375 + x = 3.104935587 Solving -3.375 + x = 3.104935587 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.375' to each side of the equation. -3.375 + 3.375 + x = 3.104935587 + 3.375 Combine like terms: -3.375 + 3.375 = 0.000 0.000 + x = 3.104935587 + 3.375 x = 3.104935587 + 3.375 Combine like terms: 3.104935587 + 3.375 = 6.479935587 x = 6.479935587 Simplifying x = 6.479935587

Subproblem 2

x + -3.375 = -3.104935587 Simplifying x + -3.375 = -3.104935587 Reorder the terms: -3.375 + x = -3.104935587 Solving -3.375 + x = -3.104935587 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.375' to each side of the equation. -3.375 + 3.375 + x = -3.104935587 + 3.375 Combine like terms: -3.375 + 3.375 = 0.000 0.000 + x = -3.104935587 + 3.375 x = -3.104935587 + 3.375 Combine like terms: -3.104935587 + 3.375 = 0.270064413 x = 0.270064413 Simplifying x = 0.270064413

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.479935587, 0.270064413}

See similar equations:

| 3(x+2.03)=2x | | 25x+6=11 | | .5(4-6w)-w=14 | | -15x-10=12 | | 4(v+3)-5(3v-8)=12-2(3v+1) | | -7-9(-24)= | | -10x^3-4x+2=0 | | 2(x-7)-3(8-2x)-2(x+3)=4(x+1) | | 2736+(-3138)= | | -(7x-5)+5x-7=-2 | | m^2-7m-6=-6 | | 4x+19=9x | | 5n=134 | | 16x^2/3/4x^1/4 | | 7d-16=5 | | 8x^-7/x^4 | | 10x-17=4x+10 | | 2540+(-2955)= | | 20-9w=4(14-w) | | 8x+3x-18=17x-24 | | 0.5(4-6w)-w=14 | | -3=n-7-7 | | 4r-8+7-6r=-9r | | 5=0.5m+3 | | 68=10f+8 | | 1.2x^2+0.4x=0.5 | | 4(3x+12)=64 | | 9(x-1)-15=7(x-1)+20 | | -2x+2y=4x+3+y | | -4(m+12)=4m | | 5+r-2=1 | | c=5/3(f-32) |

Equations solver categories