If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 20x2 + -30x + -10 = 0 Reorder the terms: -10 + -30x + 20x2 = 0 Solving -10 + -30x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(-1 + -3x + 2x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-1 + -3x + 2x2)' equal to zero and attempt to solve: Simplifying -1 + -3x + 2x2 = 0 Solving -1 + -3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + -1.5x + x2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + -1.5x + 0.5 + x2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + -1.5x + x2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1.5x + x2 = 0 + 0.5 -1.5x + x2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -1.5x + x2 = 0.5 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 = 0.5 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = 0.5 + 0.5625 Combine like terms: 0.5 + 0.5625 = 1.0625 0.5625 + -1.5x + x2 = 1.0625 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 1.0625 Calculate the square root of the right side: 1.030776406 Break this problem into two subproblems by setting (x + -0.75) equal to 1.030776406 and -1.030776406.Subproblem 1
x + -0.75 = 1.030776406 Simplifying x + -0.75 = 1.030776406 Reorder the terms: -0.75 + x = 1.030776406 Solving -0.75 + x = 1.030776406 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 = 1.030776406 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 1.030776406 + 0.75 x = 1.030776406 + 0.75 Combine like terms: 1.030776406 + 0.75 = 1.780776406 x = 1.780776406 Simplifying x = 1.780776406Subproblem 2
x + -0.75 = -1.030776406 Simplifying x + -0.75 = -1.030776406 Reorder the terms: -0.75 + x = -1.030776406 Solving -0.75 + x = -1.030776406 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 = -1.030776406 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -1.030776406 + 0.75 x = -1.030776406 + 0.75 Combine like terms: -1.030776406 + 0.75 = -0.280776406 x = -0.280776406 Simplifying x = -0.280776406Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.780776406, -0.280776406}Solution
x = {1.780776406, -0.280776406}
| 5(x-3)+10=35 | | 47-5x=7-10x | | n-7.6=1.6 | | 4(m-6)-m(3+4)=8m+2 | | 7n+4=11-28 | | -11y-10=-32 | | 6y-24=28 | | 6x-7=4x+11 | | F(x)=x^4+5x-3 | | 2(1+3x)=1-x | | (10x+3)2=x | | 5(x-1)=-2 | | 7*x^2-2*x-2=0 | | 3y+1=(2y-3)2 | | 7x+28=x+50 | | C(3)=400(1.02) | | 0.05x^2-5x+200=0 | | 8x+7x-3+4=5x+2x | | 0.05x^2-5t+200=0 | | 0.4(x)=8x-12 | | -2(x+4)=6x-2+2(5x+2) | | -3k=10+2k | | -16-10.2=-14.7+16.85 | | 5-(x+3)=-5(x+3) | | -8w+17=2w-3 | | (4x^3-5x)+(8x-3x^3)=0 | | 3(d-15)=9-4d | | X+1/2x=1800 | | x^5-19x^3+30x^2=0 | | 5+7+15xy^2+9y^3+10x-13xy^2-3x-8y^3= | | 3b(b-4)+6(b-8)=0 | | 21z^2-5z-4=0 |