If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -6x2 + 5x + 3 Reorder the terms: 0 = 3 + 5x + -6x2 Solving 0 = 3 + 5x + -6x2 Solving for variable 'x'. Combine like terms: 0 + -3 = -3 -3 + -5x + 6x2 = 3 + 5x + -6x2 + -3 + -5x + 6x2 Reorder the terms: -3 + -5x + 6x2 = 3 + -3 + 5x + -5x + -6x2 + 6x2 Combine like terms: 3 + -3 = 0 -3 + -5x + 6x2 = 0 + 5x + -5x + -6x2 + 6x2 -3 + -5x + 6x2 = 5x + -5x + -6x2 + 6x2 Combine like terms: 5x + -5x = 0 -3 + -5x + 6x2 = 0 + -6x2 + 6x2 -3 + -5x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -3 + -5x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -0.5 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + -0.8333333333x + 0.5 + x2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + -0.8333333333x + x2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.8333333333x + x2 = 0 + 0.5 -0.8333333333x + x2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -0.8333333333x + x2 = 0.5 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 = 0.5 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333x + x2 = 0.5 + 0.1736111111 Combine like terms: 0.5 + 0.1736111111 = 0.6736111111 0.1736111111 + -0.8333333333x + x2 = 0.6736111111 Factor a perfect square on the left side: (x + -0.4166666667)(x + -0.4166666667) = 0.6736111111 Calculate the square root of the right side: 0.82073815 Break this problem into two subproblems by setting (x + -0.4166666667) equal to 0.82073815 and -0.82073815.Subproblem 1
x + -0.4166666667 = 0.82073815 Simplifying x + -0.4166666667 = 0.82073815 Reorder the terms: -0.4166666667 + x = 0.82073815 Solving -0.4166666667 + x = 0.82073815 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 = 0.82073815 + 0.4166666667 Combine like terms: -0.4166666667 + 0.4166666667 = 0.0000000000 0.0000000000 + x = 0.82073815 + 0.4166666667 x = 0.82073815 + 0.4166666667 Combine like terms: 0.82073815 + 0.4166666667 = 1.2374048167 x = 1.2374048167 Simplifying x = 1.2374048167Subproblem 2
x + -0.4166666667 = -0.82073815 Simplifying x + -0.4166666667 = -0.82073815 Reorder the terms: -0.4166666667 + x = -0.82073815 Solving -0.4166666667 + x = -0.82073815 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 = -0.82073815 + 0.4166666667 Combine like terms: -0.4166666667 + 0.4166666667 = 0.0000000000 0.0000000000 + x = -0.82073815 + 0.4166666667 x = -0.82073815 + 0.4166666667 Combine like terms: -0.82073815 + 0.4166666667 = -0.4040714833 x = -0.4040714833 Simplifying x = -0.4040714833Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.2374048167, -0.4040714833}
| -2(4n+10)+8n(n-7)= | | -4r-11=4r+22 | | 3x+1whenx=4 | | 9+5*2= | | -2(4n+10)+8(n-7)= | | 2x-4=38 | | (4b+7)+(b^2-3b+8)= | | 11x=25+x | | 1/2z-1/2=5 | | 1.4+1.1=8.3-x | | 9x^2+37x+4= | | 10xy=5 | | 1/5(x+3)-4(2x-3)=9/10 | | 9(x-1)+4(x+1)=12-2x | | -f(x)=3x^2+2x-4 | | 14t+20=8t-22 | | 1/2(3x+4)=3/4(x-8) | | -24a^3b^3c^3-84a^4b^2c= | | 5(6x-10)+3x(1-4x)= | | 4m-5=35 | | 3/4(x+7)+50 | | a^2x+5a^2x^2-2ax=0 | | 3x(45+34)=245 | | -3-3/2x=6 | | x=2y-z/4(z) | | 2p=46 | | 48m-80n= | | 3(n+3)-n= | | 2a^5b+2a^4b^2+2a^3b^3= | | 3x(6x+14)=48 | | x=2y-z/4z | | 0.5(3x+4)=0.75(x-8) |