-4.9x^2+29.4x+15.9=0

Simple and best practice solution for -4.9x^2+29.4x+15.9=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 -4.9x^2+29.4x+15.9=0 equation:


Simplifying
-4.9x2 + 29.4x + 15.9 = 0

Reorder the terms:
15.9 + 29.4x + -4.9x2 = 0

Solving
15.9 + 29.4x + -4.9x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-4.9 the coefficient of the squared term: 

Divide each side by '-4.9'.
-3.244897959 + -6x + x2 = 0

Move the constant term to the right:

Add '3.244897959' to each side of the equation.
-3.244897959 + -6x + 3.244897959 + x2 = 0 + 3.244897959

Reorder the terms:
-3.244897959 + 3.244897959 + -6x + x2 = 0 + 3.244897959

Combine like terms: -3.244897959 + 3.244897959 = 0.000000000
0.000000000 + -6x + x2 = 0 + 3.244897959
-6x + x2 = 0 + 3.244897959

Combine like terms: 0 + 3.244897959 = 3.244897959
-6x + x2 = 3.244897959

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = 3.244897959 + 9

Reorder the terms:
9 + -6x + x2 = 3.244897959 + 9

Combine like terms: 3.244897959 + 9 = 12.244897959
9 + -6x + x2 = 12.244897959

Factor a perfect square on the left side:
(x + -3)(x + -3) = 12.244897959

Calculate the square root of the right side: 3.499271061

Break this problem into two subproblems by setting 
(x + -3) equal to 3.499271061 and -3.499271061.

Subproblem 1

x + -3 = 3.499271061 Simplifying x + -3 = 3.499271061 Reorder the terms: -3 + x = 3.499271061 Solving -3 + x = 3.499271061 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 3.499271061 + 3 Combine like terms: -3 + 3 = 0 0 + x = 3.499271061 + 3 x = 3.499271061 + 3 Combine like terms: 3.499271061 + 3 = 6.499271061 x = 6.499271061 Simplifying x = 6.499271061

Subproblem 2

x + -3 = -3.499271061 Simplifying x + -3 = -3.499271061 Reorder the terms: -3 + x = -3.499271061 Solving -3 + x = -3.499271061 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = -3.499271061 + 3 Combine like terms: -3 + 3 = 0 0 + x = -3.499271061 + 3 x = -3.499271061 + 3 Combine like terms: -3.499271061 + 3 = -0.499271061 x = -0.499271061 Simplifying x = -0.499271061

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.499271061, -0.499271061}

See similar equations:

| -2k+3k-2+4k= | | -4.9x^2+29.4x-15.9=0 | | 13/8=y/11 | | 4(5+x)=(4x-1)-23 | | 3x+44=3+8x-9 | | -6b^2+96=0 | | 8=-12-4a | | 2x+4=11x | | 5x+7+x=5+2x+5 | | 0=6x^2-18x^2 | | 2x+19=3+5x-5 | | (x-10)(x-3)=8 | | -5(2t-3)+6t=8t-4 | | 2/7x4/11 | | 3/17=x/9 | | 1/5v-5/2=-7/3 | | 15+3b=0 | | P+51=68 | | (2x-3)(5x+9)=0 | | 2=(x-54166)/10200 | | 4v^3*vu^2=4v^4u^2 | | x^2+4x-190=0 | | 13x+9c=1703 | | 9x+5+x=-9+7x+8 | | 6(x-30)=4(x+10) | | 2x+1-3x+5=2(2x+5)-x | | 7y-6v-10=13 | | 49x^2-11=0 | | 2tan^2(x)=0 | | 5x-6=7x+2(x-3) | | 6x(2t-4)=48-6t | | 2y^2*3x=6xy^2 |

Equations solver categories