-5x^2+4x+7=0

Simple and best practice solution for -5x^2+4x+7=0 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+7=0 equation:


Simplifying
-5x2 + 4x + 7 = 0

Reorder the terms:
7 + 4x + -5x2 = 0

Solving
7 + 4x + -5x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
-1.4 + -0.8x + x2 = 0

Move the constant term to the right:

Add '1.4' to each side of the equation.
-1.4 + -0.8x + 1.4 + x2 = 0 + 1.4

Reorder the terms:
-1.4 + 1.4 + -0.8x + x2 = 0 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + -0.8x + x2 = 0 + 1.4
-0.8x + x2 = 0 + 1.4

Combine like terms: 0 + 1.4 = 1.4
-0.8x + x2 = 1.4

The x term is -0.8x.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8x + 0.16 + x2 = 1.4 + 0.16

Reorder the terms:
0.16 + -0.8x + x2 = 1.4 + 0.16

Combine like terms: 1.4 + 0.16 = 1.56
0.16 + -0.8x + x2 = 1.56

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = 1.56

Calculate the square root of the right side: 1.2489996

Break this problem into two subproblems by setting 
(x + -0.4) equal to 1.2489996 and -1.2489996.

Subproblem 1

x + -0.4 = 1.2489996 Simplifying x + -0.4 = 1.2489996 Reorder the terms: -0.4 + x = 1.2489996 Solving -0.4 + x = 1.2489996 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + x = 1.2489996 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + x = 1.2489996 + 0.4 x = 1.2489996 + 0.4 Combine like terms: 1.2489996 + 0.4 = 1.6489996 x = 1.6489996 Simplifying x = 1.6489996

Subproblem 2

x + -0.4 = -1.2489996 Simplifying x + -0.4 = -1.2489996 Reorder the terms: -0.4 + x = -1.2489996 Solving -0.4 + x = -1.2489996 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + x = -1.2489996 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + x = -1.2489996 + 0.4 x = -1.2489996 + 0.4 Combine like terms: -1.2489996 + 0.4 = -0.8489996 x = -0.8489996 Simplifying x = -0.8489996

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.6489996, -0.8489996}

See similar equations:

| 4x^2+10x-6=180 | | y=2x-4+x-1 | | 64-n^3=0 | | (4x-3)(2x^2+3x+5)= | | 2-8n+3n=9-92 | | 11/81.40=X/40 | | 108-4x^3=0 | | (8x^5)/x^-1 | | 64=--4s | | 6v-7=35 | | 3(7+b)=45 | | v^2+24v= | | 15x+45=45 | | 10z-24=z^2 | | 6x+2=162 | | -40+5y+2=2(4y-5)-7 | | 3(7+b)=8 | | x+x+26+x-2=180 | | 62+4(x+2)5x-7=180 | | s=3h+3u | | 6p^2+54p+180=0 | | y^2+x=180 | | 2/9=X/81 | | 5x^5+50x^4+80x^3= | | 3/5a-4/57/10 | | x+115=71 | | 9e^9t=13e^8t | | 12a+4=4x | | (4x-3)(2x^3+3x+5)= | | 3x+5x-12+5x+18=180 | | 4x+4=98 | | -2x+(7-x)=-14 |

Equations solver categories