If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x2 + 6x) + -1(-4x2 + -6x + 5) = 0 Reorder the terms: (6x + 3x2) + -1(-4x2 + -6x + 5) = 0 Remove parenthesis around (6x + 3x2) 6x + 3x2 + -1(-4x2 + -6x + 5) = 0 Reorder the terms: 6x + 3x2 + -1(5 + -6x + -4x2) = 0 6x + 3x2 + (5 * -1 + -6x * -1 + -4x2 * -1) = 0 6x + 3x2 + (-5 + 6x + 4x2) = 0 Reorder the terms: -5 + 6x + 6x + 3x2 + 4x2 = 0 Combine like terms: 6x + 6x = 12x -5 + 12x + 3x2 + 4x2 = 0 Combine like terms: 3x2 + 4x2 = 7x2 -5 + 12x + 7x2 = 0 Solving -5 + 12x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -0.7142857143 + 1.714285714x + x2 = 0 Move the constant term to the right: Add '0.7142857143' to each side of the equation. -0.7142857143 + 1.714285714x + 0.7142857143 + x2 = 0 + 0.7142857143 Reorder the terms: -0.7142857143 + 0.7142857143 + 1.714285714x + x2 = 0 + 0.7142857143 Combine like terms: -0.7142857143 + 0.7142857143 = 0.0000000000 0.0000000000 + 1.714285714x + x2 = 0 + 0.7142857143 1.714285714x + x2 = 0 + 0.7142857143 Combine like terms: 0 + 0.7142857143 = 0.7142857143 1.714285714x + x2 = 0.7142857143 The x term is 1.714285714x. Take half its coefficient (0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. 1.714285714x + 0.7346938773 + x2 = 0.7142857143 + 0.7346938773 Reorder the terms: 0.7346938773 + 1.714285714x + x2 = 0.7142857143 + 0.7346938773 Combine like terms: 0.7142857143 + 0.7346938773 = 1.4489795916 0.7346938773 + 1.714285714x + x2 = 1.4489795916 Factor a perfect square on the left side: (x + 0.857142857)(x + 0.857142857) = 1.4489795916 Calculate the square root of the right side: 1.203735682 Break this problem into two subproblems by setting (x + 0.857142857) equal to 1.203735682 and -1.203735682.Subproblem 1
x + 0.857142857 = 1.203735682 Simplifying x + 0.857142857 = 1.203735682 Reorder the terms: 0.857142857 + x = 1.203735682 Solving 0.857142857 + x = 1.203735682 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.857142857' to each side of the equation. 0.857142857 + -0.857142857 + x = 1.203735682 + -0.857142857 Combine like terms: 0.857142857 + -0.857142857 = 0.000000000 0.000000000 + x = 1.203735682 + -0.857142857 x = 1.203735682 + -0.857142857 Combine like terms: 1.203735682 + -0.857142857 = 0.346592825 x = 0.346592825 Simplifying x = 0.346592825Subproblem 2
x + 0.857142857 = -1.203735682 Simplifying x + 0.857142857 = -1.203735682 Reorder the terms: 0.857142857 + x = -1.203735682 Solving 0.857142857 + x = -1.203735682 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.857142857' to each side of the equation. 0.857142857 + -0.857142857 + x = -1.203735682 + -0.857142857 Combine like terms: 0.857142857 + -0.857142857 = 0.000000000 0.000000000 + x = -1.203735682 + -0.857142857 x = -1.203735682 + -0.857142857 Combine like terms: -1.203735682 + -0.857142857 = -2.060878539 x = -2.060878539 Simplifying x = -2.060878539Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.346592825, -2.060878539}
| 10x-32x=29 | | -4z+6=4(-z+2) | | (2x+1)*(3x-5)= | | 81=3(w+7) | | 12d(3-2)=24 | | 5x-4+x=20 | | 26=6(5-4w) | | 4/7s=16 | | 30x^2+22x+4=0 | | -4t-11=2t+7 | | 10=x+26 | | 12n+7=4n+8n+6 | | 5+2(n+4)=-18 | | (8x/7x-49) | | y+5y-6=3(2y-2) | | -x/10=-3/7 | | 6.3x-2.1=4.2 | | x=2y-3/2 | | 2c-c=3c-5 | | x=1/2y-3/2 | | b+3b-10=2(2b-5) | | x-7=-2x-16 | | -2x+9x-15=3x+5 | | 3x=kx | | -8(n-7)+(3n-3)=41 | | -9(n-7)+(3n-3)=41 | | 6z+z=5z+10 | | (13)+(6)+(2x-18)=4x-29 | | (x-a)/b=(y-a)/c | | 4t+3=4(t+1) | | (1/2)4 | | 4x^2+6x+11=0 |