If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 13x + -0.5 = 0 Reorder the terms: -0.5 + 13x + 4x2 = 0 Solving -0.5 + 13x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.125 + 3.25x + x2 = 0 Move the constant term to the right: Add '0.125' to each side of the equation. -0.125 + 3.25x + 0.125 + x2 = 0 + 0.125 Reorder the terms: -0.125 + 0.125 + 3.25x + x2 = 0 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + 3.25x + x2 = 0 + 0.125 3.25x + x2 = 0 + 0.125 Combine like terms: 0 + 0.125 = 0.125 3.25x + x2 = 0.125 The x term is 3.25x. Take half its coefficient (1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. 3.25x + 2.640625 + x2 = 0.125 + 2.640625 Reorder the terms: 2.640625 + 3.25x + x2 = 0.125 + 2.640625 Combine like terms: 0.125 + 2.640625 = 2.765625 2.640625 + 3.25x + x2 = 2.765625 Factor a perfect square on the left side: (x + 1.625)(x + 1.625) = 2.765625 Calculate the square root of the right side: 1.663016837 Break this problem into two subproblems by setting (x + 1.625) equal to 1.663016837 and -1.663016837.Subproblem 1
x + 1.625 = 1.663016837 Simplifying x + 1.625 = 1.663016837 Reorder the terms: 1.625 + x = 1.663016837 Solving 1.625 + x = 1.663016837 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.625' to each side of the equation. 1.625 + -1.625 + x = 1.663016837 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + x = 1.663016837 + -1.625 x = 1.663016837 + -1.625 Combine like terms: 1.663016837 + -1.625 = 0.038016837 x = 0.038016837 Simplifying x = 0.038016837Subproblem 2
x + 1.625 = -1.663016837 Simplifying x + 1.625 = -1.663016837 Reorder the terms: 1.625 + x = -1.663016837 Solving 1.625 + x = -1.663016837 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.625' to each side of the equation. 1.625 + -1.625 + x = -1.663016837 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + x = -1.663016837 + -1.625 x = -1.663016837 + -1.625 Combine like terms: -1.663016837 + -1.625 = -3.288016837 x = -3.288016837 Simplifying x = -3.288016837Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.038016837, -3.288016837}
| 6x+3y-10=0 | | 2y+1+3y+5+7y=60 | | 6y+3+4y-13=90 | | 14w+6=104 | | 4x=3y-z | | 3x+71=x+54 | | x=3xy | | 33+33+x+x=360 | | (8+6x)-6x= | | 10(2x+14)+7x-19= | | 4(x-6)+13(x+6)= | | x^2-13x+36=6 | | g-3/7=3/7 | | (14x+6)-4x= | | -4t-5=7 | | 4+4s-2s=16 | | 8(4x+6)+2x= | | 2(x+7)*5= | | 7x+50+7x=84 | | x^2+2x=27 | | 7x+35+7x=84 | | 572.265=3.14*r^2 | | 0.7(x+5)+0.7x=84 | | 46+90+x=180 | | 3p-1=5(p-1)-2(2-2p) | | p^2+8p+14= | | z^2-13z+12=a | | 3j+5p=7.6 | | 5x-4+2x+2x+14=360 | | (16x-15)=(30+11x) | | 2y^2-16y-98=0 | | 2b-3.5/0.6=-29 |