If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (8x2) + 12x + 3 = 0 Reorder the terms: 3 + 12x + (8x2) = 0 Solving 3 + 12x + (8x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.375 + 1.5x + x2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + 1.5x + -0.375 + x2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + 1.5x + x2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + 1.5x + x2 = 0 + -0.375 1.5x + x2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 1.5x + x2 = -0.375 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = -0.375 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -0.375 + 0.5625 Combine like terms: -0.375 + 0.5625 = 0.1875 0.5625 + 1.5x + x2 = 0.1875 Factor a perfect square on the left side: ((x) + 0.75)((x) + 0.75) = 0.1875 Calculate the square root of the right side: 0.433012702 Break this problem into two subproblems by setting ((x) + 0.75) equal to 0.433012702 and -0.433012702.Subproblem 1
(x) + 0.75 = 0.433012702 Simplifying (x) + 0.75 = 0.433012702 x + 0.75 = 0.433012702 Reorder the terms: 0.75 + x = 0.433012702 Solving 0.75 + x = 0.433012702 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 0.433012702 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 0.433012702 + -0.75 x = 0.433012702 + -0.75 Combine like terms: 0.433012702 + -0.75 = -0.316987298 x = -0.316987298 Simplifying x = -0.316987298Subproblem 2
(x) + 0.75 = -0.433012702 Simplifying (x) + 0.75 = -0.433012702 x + 0.75 = -0.433012702 Reorder the terms: 0.75 + x = -0.433012702 Solving 0.75 + x = -0.433012702 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -0.433012702 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -0.433012702 + -0.75 x = -0.433012702 + -0.75 Combine like terms: -0.433012702 + -0.75 = -1.183012702 x = -1.183012702 Simplifying x = -1.183012702Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.316987298, -1.183012702}
| -26=-2w | | -8+z=22 | | 20y^2-26y+8=0 | | 6x-9-2x=31 | | T-45=-28 | | 3z+15=3z+25 | | 5y-28=14 | | -2(6x-9y+6)= | | -29=v/5 | | 7(h)(h+8)=231 | | 3(z+5)=3z+25 | | -12x+18y-12= | | -y/2=11 | | (w+4)(w+9)-(w)(w+5)=76 | | 15y-27=2x+10 | | (4x^2)+4x=35 | | (64r^2)-1=0 | | x-5x=222 | | 2(12y-5)=15y-4 | | (t^2)-8t+15=0 | | X^2y^2-(25/64)=0 | | x/4=10/5-1= | | -9-1=4x+6-3x | | 100-35x=50-35 | | 2(6x-14)=4x+14 | | (s^2)+14s+48=0 | | 30n^2+40n=0 | | C^2-2x=15 | | 3y+27=10y+20 | | 12x^2+20x+3x+5=0 | | 3-11=z/-4 | | yx+6x-7y-42=0 |