If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = -8(2x2 + -2x + -1) Reorder the terms: 10 = -8(-1 + -2x + 2x2) 10 = (-1 * -8 + -2x * -8 + 2x2 * -8) 10 = (8 + 16x + -16x2) Solving 10 = 8 + 16x + -16x2 Solving for variable 'x'. Combine like terms: 10 + -8 = 2 2 + -16x + 16x2 = 8 + 16x + -16x2 + -8 + -16x + 16x2 Reorder the terms: 2 + -16x + 16x2 = 8 + -8 + 16x + -16x + -16x2 + 16x2 Combine like terms: 8 + -8 = 0 2 + -16x + 16x2 = 0 + 16x + -16x + -16x2 + 16x2 2 + -16x + 16x2 = 16x + -16x + -16x2 + 16x2 Combine like terms: 16x + -16x = 0 2 + -16x + 16x2 = 0 + -16x2 + 16x2 2 + -16x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 2 + -16x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -8x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -8x + 8x2)' equal to zero and attempt to solve: Simplifying 1 + -8x + 8x2 = 0 Solving 1 + -8x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.125 + -1x + x2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + -1x + -0.125 + x2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + -1x + x2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -1x + x2 = 0 + -0.125 -1x + x2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 -1x + x2 = -0.125 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -0.125 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.125 + 0.25 Combine like terms: -0.125 + 0.25 = 0.125 0.25 + -1x + x2 = 0.125 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 0.125 Calculate the square root of the right side: 0.353553391 Break this problem into two subproblems by setting (x + -0.5) equal to 0.353553391 and -0.353553391.Subproblem 1
x + -0.5 = 0.353553391 Simplifying x + -0.5 = 0.353553391 Reorder the terms: -0.5 + x = 0.353553391 Solving -0.5 + x = 0.353553391 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 0.353553391 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 0.353553391 + 0.5 x = 0.353553391 + 0.5 Combine like terms: 0.353553391 + 0.5 = 0.853553391 x = 0.853553391 Simplifying x = 0.853553391Subproblem 2
x + -0.5 = -0.353553391 Simplifying x + -0.5 = -0.353553391 Reorder the terms: -0.5 + x = -0.353553391 Solving -0.5 + x = -0.353553391 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -0.353553391 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -0.353553391 + 0.5 x = -0.353553391 + 0.5 Combine like terms: -0.353553391 + 0.5 = 0.146446609 x = 0.146446609 Simplifying x = 0.146446609Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.853553391, 0.146446609}Solution
x = {0.853553391, 0.146446609}
| Cos^2x+6cosx+6=0 | | (X+9)(x-19)=0 | | 6(9+x)=102 | | 9-3+5x=9+4x | | 2(-4+x)=10 | | 4y+92=196 | | 2(1x-10)=-44 | | 4x(6x-8)= | | 30x+45=90 | | 2x(1x-10)=-44 | | 7(1x-2)=49 | | (-6x)+4=0 | | f(x)=1/4x^2-12x | | 5+2x=x+5 | | x^2-mx+3m-9=0 | | -5+6x=-6x+139 | | 15x^-3y^6z^-4/25x^-2y^-2z | | 7/9x3/4= | | 2+5x=x+26 | | 9+x=5x+9 | | 3m-8n/13= | | 5y-25x=20 | | -9-3x=4x+68 | | 3m-8n/13 | | -3x-3=-53+7x | | 2x+4(2x+6)=10x+24 | | 10+3x=-2x-50 | | 5m-8=2m+4 | | 2(x+4)+2=6x+2(x+2) | | 6x-7=5+3x | | -2-4=10-4 | | 2m+4=3m-6 |