If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + -5x + -6 = 3 Reorder the terms: -6 + -5x + 6x2 = 3 Solving -6 + -5x + 6x2 = 3 Solving for variable 'x'. Reorder the terms: -6 + -3 + -5x + 6x2 = 3 + -3 Combine like terms: -6 + -3 = -9 -9 + -5x + 6x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -9 + -5x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -1.5 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -0.8333333333x + 1.5 + x2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -0.8333333333x + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -0.8333333333x + x2 = 0 + 1.5 -0.8333333333x + x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -0.8333333333x + x2 = 1.5 The x term is -0.8333333333x. Take half its coefficient (-0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. -0.8333333333x + 0.1736111111 + x2 = 1.5 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333x + x2 = 1.5 + 0.1736111111 Combine like terms: 1.5 + 0.1736111111 = 1.6736111111 0.1736111111 + -0.8333333333x + x2 = 1.6736111111 Factor a perfect square on the left side: (x + -0.4166666667)(x + -0.4166666667) = 1.6736111111 Calculate the square root of the right side: 1.293681225 Break this problem into two subproblems by setting (x + -0.4166666667) equal to 1.293681225 and -1.293681225.Subproblem 1
x + -0.4166666667 = 1.293681225 Simplifying x + -0.4166666667 = 1.293681225 Reorder the terms: -0.4166666667 + x = 1.293681225 Solving -0.4166666667 + x = 1.293681225 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4166666667' to each side of the equation. -0.4166666667 + 0.4166666667 + x = 1.293681225 + 0.4166666667 Combine like terms: -0.4166666667 + 0.4166666667 = 0.0000000000 0.0000000000 + x = 1.293681225 + 0.4166666667 x = 1.293681225 + 0.4166666667 Combine like terms: 1.293681225 + 0.4166666667 = 1.7103478917 x = 1.7103478917 Simplifying x = 1.7103478917Subproblem 2
x + -0.4166666667 = -1.293681225 Simplifying x + -0.4166666667 = -1.293681225 Reorder the terms: -0.4166666667 + x = -1.293681225 Solving -0.4166666667 + x = -1.293681225 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4166666667' to each side of the equation. -0.4166666667 + 0.4166666667 + x = -1.293681225 + 0.4166666667 Combine like terms: -0.4166666667 + 0.4166666667 = 0.0000000000 0.0000000000 + x = -1.293681225 + 0.4166666667 x = -1.293681225 + 0.4166666667 Combine like terms: -1.293681225 + 0.4166666667 = -0.8770145583 x = -0.8770145583 Simplifying x = -0.8770145583Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.7103478917, -0.8770145583}
| 79=10x-23+7x | | 2x-5+8x= | | x^2-14x-72=0 | | -8(1+r)=-16-6r | | -3.5a-19.5+9.89=10.74 | | 7+3x=1+5x | | 3(3x+2x)= | | 5m+5=7m-5 | | 6r-(2r-3)+5=0 | | 3a+ab+3c+bc= | | 4b^2+27b+35= | | 5x+12x= | | 18x^2-17x=0 | | -8x-19=(-3)(x+8) | | -6+10a=3-2a | | 4ax^3-6ax^2-6ax+9a= | | 5r^2+32r+35= | | 7(x+6)=2x+3x-15 | | 0.5x+1.3=0.9x-1.1 | | -2x+8+x=12 | | 7-6b+3b=-5 | | 83-77=39y-42y | | 4z=8(3+z) | | 3x-21=5+x | | 5x-4=4x-4 | | (2a^2b^2+2a^2)-(2ab^2+4a)= | | y^2-3y=-1 | | 5r^2+23r+21= | | 4x+2=-26 | | 5r^2+23r+12= | | 7n-9n=12 | | x^2-2x+xy-2y= |