-7x^2+5x+8=

Simple and best practice solution for -7x^2+5x+8= 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 -7x^2+5x+8= equation:


Simplifying
-7x2 + 5x + 8 = 0

Reorder the terms:
8 + 5x + -7x2 = 0

Solving
8 + 5x + -7x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
-1.142857143 + -0.7142857143x + x2 = 0

Move the constant term to the right:

Add '1.142857143' to each side of the equation.
-1.142857143 + -0.7142857143x + 1.142857143 + x2 = 0 + 1.142857143

Reorder the terms:
-1.142857143 + 1.142857143 + -0.7142857143x + x2 = 0 + 1.142857143

Combine like terms: -1.142857143 + 1.142857143 = 0.000000000
0.000000000 + -0.7142857143x + x2 = 0 + 1.142857143
-0.7142857143x + x2 = 0 + 1.142857143

Combine like terms: 0 + 1.142857143 = 1.142857143
-0.7142857143x + x2 = 1.142857143

The x term is -0.7142857143x.  Take half its coefficient (-0.3571428572).
Square it (0.1275510204) and add it to both sides.

Add '0.1275510204' to each side of the equation.
-0.7142857143x + 0.1275510204 + x2 = 1.142857143 + 0.1275510204

Reorder the terms:
0.1275510204 + -0.7142857143x + x2 = 1.142857143 + 0.1275510204

Combine like terms: 1.142857143 + 0.1275510204 = 1.2704081634
0.1275510204 + -0.7142857143x + x2 = 1.2704081634

Factor a perfect square on the left side:
(x + -0.3571428572)(x + -0.3571428572) = 1.2704081634

Calculate the square root of the right side: 1.127123846

Break this problem into two subproblems by setting 
(x + -0.3571428572) equal to 1.127123846 and -1.127123846.

Subproblem 1

x + -0.3571428572 = 1.127123846 Simplifying x + -0.3571428572 = 1.127123846 Reorder the terms: -0.3571428572 + x = 1.127123846 Solving -0.3571428572 + x = 1.127123846 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3571428572' to each side of the equation. -0.3571428572 + 0.3571428572 + x = 1.127123846 + 0.3571428572 Combine like terms: -0.3571428572 + 0.3571428572 = 0.0000000000 0.0000000000 + x = 1.127123846 + 0.3571428572 x = 1.127123846 + 0.3571428572 Combine like terms: 1.127123846 + 0.3571428572 = 1.4842667032 x = 1.4842667032 Simplifying x = 1.4842667032

Subproblem 2

x + -0.3571428572 = -1.127123846 Simplifying x + -0.3571428572 = -1.127123846 Reorder the terms: -0.3571428572 + x = -1.127123846 Solving -0.3571428572 + x = -1.127123846 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3571428572' to each side of the equation. -0.3571428572 + 0.3571428572 + x = -1.127123846 + 0.3571428572 Combine like terms: -0.3571428572 + 0.3571428572 = 0.0000000000 0.0000000000 + x = -1.127123846 + 0.3571428572 x = -1.127123846 + 0.3571428572 Combine like terms: -1.127123846 + 0.3571428572 = -0.7699809888 x = -0.7699809888 Simplifying x = -0.7699809888

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.4842667032, -0.7699809888}

See similar equations:

| 1.6+2.142=0.18x-2.15 | | (4x^2-8y^2)(x^2-7y^2)= | | 17+3n=26 | | 0.78x-3.1=4.952 | | (x^2-6x-16)/(x-8) | | 58=0.15(x-200)+40 | | 58=0.15(x-200)+400 | | 16x/34-=4x+45 | | 163=12e+7 | | 8-10a=3a^2 | | 3x+9y=21 | | 6d-5=43 | | 7x-24=4x-38 | | 14x^2-57x=27 | | ln(x)+5*ln(x^2)=11 | | 64=b^2 | | 6x+6=3+8x-9 | | 1.8-.63y=.7(.3y+10.9) | | 5*lnx^2=10 | | 5c+3=38 | | -8+x=13 | | 5*ln^2=10 | | 2xy-z=3z+10 | | 3.7(2.1x+1.7)=86.2+0.87x | | 4+4p-3=8p+5-2p | | -4a+4=-a^2 | | 1a+4=6 | | 4/2=y-4 | | 1a+4= | | -3x^2+9x-10=0 | | 2y=-y^2 | | (8a^-6)^2/3 |

Equations solver categories