-4x^2-8x+10=0

Simple and best practice solution for -4x^2-8x+10=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 -4x^2-8x+10=0 equation:


Simplifying
-4x2 + -8x + 10 = 0

Reorder the terms:
10 + -8x + -4x2 = 0

Solving
10 + -8x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -4x + -2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -4x + -2x2)' equal to zero and attempt to solve: Simplifying 5 + -4x + -2x2 = 0 Solving 5 + -4x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -2.5 + 2x + x2 = 0 Move the constant term to the right: Add '2.5' to each side of the equation. -2.5 + 2x + 2.5 + x2 = 0 + 2.5 Reorder the terms: -2.5 + 2.5 + 2x + x2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 2x + x2 = 0 + 2.5 2x + x2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 2x + x2 = 2.5 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 2.5 + 1 Reorder the terms: 1 + 2x + x2 = 2.5 + 1 Combine like terms: 2.5 + 1 = 3.5 1 + 2x + x2 = 3.5 Factor a perfect square on the left side: (x + 1)(x + 1) = 3.5 Calculate the square root of the right side: 1.870828693 Break this problem into two subproblems by setting (x + 1) equal to 1.870828693 and -1.870828693.

Subproblem 1

x + 1 = 1.870828693 Simplifying x + 1 = 1.870828693 Reorder the terms: 1 + x = 1.870828693 Solving 1 + x = 1.870828693 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 1.870828693 + -1 Combine like terms: 1 + -1 = 0 0 + x = 1.870828693 + -1 x = 1.870828693 + -1 Combine like terms: 1.870828693 + -1 = 0.870828693 x = 0.870828693 Simplifying x = 0.870828693

Subproblem 2

x + 1 = -1.870828693 Simplifying x + 1 = -1.870828693 Reorder the terms: 1 + x = -1.870828693 Solving 1 + x = -1.870828693 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -1.870828693 + -1 Combine like terms: 1 + -1 = 0 0 + x = -1.870828693 + -1 x = -1.870828693 + -1 Combine like terms: -1.870828693 + -1 = -2.870828693 x = -2.870828693 Simplifying x = -2.870828693

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.870828693, -2.870828693}

Solution

x = {0.870828693, -2.870828693}

See similar equations:

| -35=x+3 | | 9+2k=k(3-2) | | 7x+9x= | | 3(x+4)-2(6-x)=20 | | 0.4y-2.8=0.4 | | 17+5x=32 | | 7p^2=-15p-2 | | y+9/3=8 | | -b^2=1-2b | | -20(.2x-.4)-7x=-14 | | 5x^2+13x-18=0 | | solveqinx+m=nq+rq | | 95+15(77)=n | | -37=x-16 | | -4x^2-8x+12=0 | | -37=x | | 2x+9y=7x+13 | | x^2+y^2-12y+25=0 | | 10y+4=2x | | (8x^2-3x)-(4x^2+5x-3)= | | 24-x=16 | | 3+i^3= | | (-6n-13n^2)+(-3n+9n^2)= | | 3x+2.5=2x | | 0.18(x)+0.08(250-x)=0.14(250) | | x=2y-9 | | 12ab-3b^2-12a^2=0 | | 5x+3-(2x+5)=7x-10 | | 0.18(x)+0.08(100)=0.14(x+100) | | 5.9x-(7x-3)=2x+3 | | 2-5(3-y)=32 | | 7n=4n-6 |

Equations solver categories