If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -5x2 + 2x + 8 = 0 Reorder the terms: 8 + 2x + -5x2 = 0 Solving 8 + 2x + -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'. -1.6 + -0.4x + x2 = 0 Move the constant term to the right: Add '1.6' to each side of the equation. -1.6 + -0.4x + 1.6 + x2 = 0 + 1.6 Reorder the terms: -1.6 + 1.6 + -0.4x + x2 = 0 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -0.4x + x2 = 0 + 1.6 -0.4x + x2 = 0 + 1.6 Combine like terms: 0 + 1.6 = 1.6 -0.4x + x2 = 1.6 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = 1.6 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = 1.6 + 0.04 Combine like terms: 1.6 + 0.04 = 1.64 0.04 + -0.4x + x2 = 1.64 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = 1.64 Calculate the square root of the right side: 1.280624847 Break this problem into two subproblems by setting (x + -0.2) equal to 1.280624847 and -1.280624847.Subproblem 1
x + -0.2 = 1.280624847 Simplifying x + -0.2 = 1.280624847 Reorder the terms: -0.2 + x = 1.280624847 Solving -0.2 + x = 1.280624847 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + x = 1.280624847 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + x = 1.280624847 + 0.2 x = 1.280624847 + 0.2 Combine like terms: 1.280624847 + 0.2 = 1.480624847 x = 1.480624847 Simplifying x = 1.480624847Subproblem 2
x + -0.2 = -1.280624847 Simplifying x + -0.2 = -1.280624847 Reorder the terms: -0.2 + x = -1.280624847 Solving -0.2 + x = -1.280624847 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + x = -1.280624847 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + x = -1.280624847 + 0.2 x = -1.280624847 + 0.2 Combine like terms: -1.280624847 + 0.2 = -1.080624847 x = -1.080624847 Simplifying x = -1.080624847Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.480624847, -1.080624847}
| f(x)=-5x^2+2x+8 | | 1000-20x=800 | | 1000x-20=800 | | 800x+60=900 | | 800x+20=1000 | | 800x+20=900 | | 800x+20=400 | | 800x+20=200 | | 800x+20=300 | | 8w=2 | | x^2-15x+5x=0 | | 90-60x=60 | | 6x^3-29x^2-5x-50=0 | | 900-60x=600 | | -4x-16x=2 | | x-1/7=-5x/6 | | 4y-24+3y=-17 | | 4x+6y=680 | | (-7+5i)-(-9-11i)=0 | | d=32.4 | | 2x+4y=360 | | 4x=228 | | 3(x+4)=29 | | 9x-4(x-3)=15x | | x=300+-1.5y | | 22.62=m | | 6x(3x-4)-4x(4x+5)= | | (30x+25+9x^2)(3x+5)=0 | | 2y(5y-4)-4y(4y-5)= | | 3u(2u-5)-7u(2u+7)= | | -4(5n-7)=10n-2 | | x-(-3x+5)=-(12-4x) |