If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = -16x2 + 30x + 6 Reorder the terms: 10 = 6 + 30x + -16x2 Solving 10 = 6 + 30x + -16x2 Solving for variable 'x'. Combine like terms: 10 + -6 = 4 4 + -30x + 16x2 = 6 + 30x + -16x2 + -6 + -30x + 16x2 Reorder the terms: 4 + -30x + 16x2 = 6 + -6 + 30x + -30x + -16x2 + 16x2 Combine like terms: 6 + -6 = 0 4 + -30x + 16x2 = 0 + 30x + -30x + -16x2 + 16x2 4 + -30x + 16x2 = 30x + -30x + -16x2 + 16x2 Combine like terms: 30x + -30x = 0 4 + -30x + 16x2 = 0 + -16x2 + 16x2 4 + -30x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 4 + -30x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -15x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -15x + 8x2)' equal to zero and attempt to solve: Simplifying 2 + -15x + 8x2 = 0 Solving 2 + -15x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.25 + -1.875x + x2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -1.875x + -0.25 + x2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -1.875x + x2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -1.875x + x2 = 0 + -0.25 -1.875x + x2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -1.875x + x2 = -0.25 The x term is -1.875x. Take half its coefficient (-0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. -1.875x + 0.87890625 + x2 = -0.25 + 0.87890625 Reorder the terms: 0.87890625 + -1.875x + x2 = -0.25 + 0.87890625 Combine like terms: -0.25 + 0.87890625 = 0.62890625 0.87890625 + -1.875x + x2 = 0.62890625 Factor a perfect square on the left side: (x + -0.9375)(x + -0.9375) = 0.62890625 Calculate the square root of the right side: 0.793036096 Break this problem into two subproblems by setting (x + -0.9375) equal to 0.793036096 and -0.793036096.Subproblem 1
x + -0.9375 = 0.793036096 Simplifying x + -0.9375 = 0.793036096 Reorder the terms: -0.9375 + x = 0.793036096 Solving -0.9375 + x = 0.793036096 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + x = 0.793036096 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + x = 0.793036096 + 0.9375 x = 0.793036096 + 0.9375 Combine like terms: 0.793036096 + 0.9375 = 1.730536096 x = 1.730536096 Simplifying x = 1.730536096Subproblem 2
x + -0.9375 = -0.793036096 Simplifying x + -0.9375 = -0.793036096 Reorder the terms: -0.9375 + x = -0.793036096 Solving -0.9375 + x = -0.793036096 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + x = -0.793036096 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + x = -0.793036096 + 0.9375 x = -0.793036096 + 0.9375 Combine like terms: -0.793036096 + 0.9375 = 0.144463904 x = 0.144463904 Simplifying x = 0.144463904Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.730536096, 0.144463904}Solution
x = {1.730536096, 0.144463904}
| 4(x-3)-4=-2(x-5) | | 3x+13=-22-4x | | 5X^2-4y^2=36 | | 2*log(4x-4)=0 | | X+17+3x=-30-3x-37 | | 11x+5=4x-9 | | (x-1)(3x^2-2x-5)= | | (x+2)(5-x)=0 | | 12[2x+3]=3[9+7x] | | -(5y+2)-(-4-3)=0 | | a^2+b^2=11 | | (.71(54.6(100))^.49)/(10^.29) | | -2(5s-2)-4=-2(7s+1)-3 | | .71(54.6(100))^.49/10^.29 | | =.71(54.6(100))^.49/10^.29 | | 6w^3-14w^2=0 | | x^2+(0.000008)x-(0.000000000004)=0 | | y=km+t | | 6x-2=16-92 | | 2x-45=0 | | 18+18=2+6 | | 8x^2y/2xy-2xy^2/10x^3y | | 9a^5+a^3=0 | | 2b-2(3+4)=46 | | 2x+7(4)=x/3+8 | | 0.5(x+2)+2x=6x-10 | | 5p^2+10p=0 | | x^2+(8E-12)x-(4E-12)=0 | | 13+3x-11=10x-14-15x | | 8x+5x+4+9=5x+4+7x | | -3x+26=2x+1 | | 2.5x-2=4-3.2x |