0=-16x^2+5x+7

Simple and best practice solution for 0=-16x^2+5x+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 0=-16x^2+5x+7 equation:


Simplifying
0 = -16x2 + 5x + 7

Reorder the terms:
0 = 7 + 5x + -16x2

Solving
0 = 7 + 5x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -7 = -7
-7 + -5x + 16x2 = 7 + 5x + -16x2 + -7 + -5x + 16x2

Reorder the terms:
-7 + -5x + 16x2 = 7 + -7 + 5x + -5x + -16x2 + 16x2

Combine like terms: 7 + -7 = 0
-7 + -5x + 16x2 = 0 + 5x + -5x + -16x2 + 16x2
-7 + -5x + 16x2 = 5x + -5x + -16x2 + 16x2

Combine like terms: 5x + -5x = 0
-7 + -5x + 16x2 = 0 + -16x2 + 16x2
-7 + -5x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-7 + -5x + 16x2 = 0

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

Divide each side by '16'.
-0.4375 + -0.3125x + x2 = 0

Move the constant term to the right:

Add '0.4375' to each side of the equation.
-0.4375 + -0.3125x + 0.4375 + x2 = 0 + 0.4375

Reorder the terms:
-0.4375 + 0.4375 + -0.3125x + x2 = 0 + 0.4375

Combine like terms: -0.4375 + 0.4375 = 0.0000
0.0000 + -0.3125x + x2 = 0 + 0.4375
-0.3125x + x2 = 0 + 0.4375

Combine like terms: 0 + 0.4375 = 0.4375
-0.3125x + x2 = 0.4375

The x term is -0.3125x.  Take half its coefficient (-0.15625).
Square it (0.0244140625) and add it to both sides.

Add '0.0244140625' to each side of the equation.
-0.3125x + 0.0244140625 + x2 = 0.4375 + 0.0244140625

Reorder the terms:
0.0244140625 + -0.3125x + x2 = 0.4375 + 0.0244140625

Combine like terms: 0.4375 + 0.0244140625 = 0.4619140625
0.0244140625 + -0.3125x + x2 = 0.4619140625

Factor a perfect square on the left side:
(x + -0.15625)(x + -0.15625) = 0.4619140625

Calculate the square root of the right side: 0.679642599

Break this problem into two subproblems by setting 
(x + -0.15625) equal to 0.679642599 and -0.679642599.

Subproblem 1

x + -0.15625 = 0.679642599 Simplifying x + -0.15625 = 0.679642599 Reorder the terms: -0.15625 + x = 0.679642599 Solving -0.15625 + x = 0.679642599 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.15625' to each side of the equation. -0.15625 + 0.15625 + x = 0.679642599 + 0.15625 Combine like terms: -0.15625 + 0.15625 = 0.00000 0.00000 + x = 0.679642599 + 0.15625 x = 0.679642599 + 0.15625 Combine like terms: 0.679642599 + 0.15625 = 0.835892599 x = 0.835892599 Simplifying x = 0.835892599

Subproblem 2

x + -0.15625 = -0.679642599 Simplifying x + -0.15625 = -0.679642599 Reorder the terms: -0.15625 + x = -0.679642599 Solving -0.15625 + x = -0.679642599 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.15625' to each side of the equation. -0.15625 + 0.15625 + x = -0.679642599 + 0.15625 Combine like terms: -0.15625 + 0.15625 = 0.00000 0.00000 + x = -0.679642599 + 0.15625 x = -0.679642599 + 0.15625 Combine like terms: -0.679642599 + 0.15625 = -0.523392599 x = -0.523392599 Simplifying x = -0.523392599

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.835892599, -0.523392599}

See similar equations:

| 0.5-0.2(20+x)=1(20) | | (-4)=4096 | | 6r+23=-7(-3+1) | | E(3d+8e)= | | 2+0=6 | | 2x+30=5(4x+6) | | 366.14=180+.82x | | 76=-4(n-1) | | -5x+8x=21 | | 0+3=6 | | 12x=9x+55 | | 63x=0 | | 4+-3=6 | | 5x+15-3x-4= | | 15-(4m+7)=3+4-19 | | 12x=9x+50 | | 2+b=-84b-48 | | 14-x=73 | | -1+-2=6 | | 28-8y=3 | | 5x+3x+12x=20x | | 18x+8=-40+10x | | 9-x=-2x+19 | | 4-5(x)=6-3(x) | | 7n-1=-164 | | 2w^2+12w-32=0 | | 6(6-4x)=-(8x+4) | | -2+0=6 | | -10x+50=5y | | ?63x=0 | | 3+0=6 | | 8x-1+3x+4+3x+9=180 |

Equations solver categories