If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7a2 + 12a + -11 = 0 Reorder the terms: -11 + 12a + 7a2 = 0 Solving -11 + 12a + 7a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -1.571428571 + 1.714285714a + a2 = 0 Move the constant term to the right: Add '1.571428571' to each side of the equation. -1.571428571 + 1.714285714a + 1.571428571 + a2 = 0 + 1.571428571 Reorder the terms: -1.571428571 + 1.571428571 + 1.714285714a + a2 = 0 + 1.571428571 Combine like terms: -1.571428571 + 1.571428571 = 0.000000000 0.000000000 + 1.714285714a + a2 = 0 + 1.571428571 1.714285714a + a2 = 0 + 1.571428571 Combine like terms: 0 + 1.571428571 = 1.571428571 1.714285714a + a2 = 1.571428571 The a term is 1.714285714a. 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. 1.714285714a + 0.7346938773 + a2 = 1.571428571 + 0.7346938773 Reorder the terms: 0.7346938773 + 1.714285714a + a2 = 1.571428571 + 0.7346938773 Combine like terms: 1.571428571 + 0.7346938773 = 2.3061224483 0.7346938773 + 1.714285714a + a2 = 2.3061224483 Factor a perfect square on the left side: (a + 0.857142857)(a + 0.857142857) = 2.3061224483 Calculate the square root of the right side: 1.518592259 Break this problem into two subproblems by setting (a + 0.857142857) equal to 1.518592259 and -1.518592259.Subproblem 1
a + 0.857142857 = 1.518592259 Simplifying a + 0.857142857 = 1.518592259 Reorder the terms: 0.857142857 + a = 1.518592259 Solving 0.857142857 + a = 1.518592259 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.857142857' to each side of the equation. 0.857142857 + -0.857142857 + a = 1.518592259 + -0.857142857 Combine like terms: 0.857142857 + -0.857142857 = 0.000000000 0.000000000 + a = 1.518592259 + -0.857142857 a = 1.518592259 + -0.857142857 Combine like terms: 1.518592259 + -0.857142857 = 0.661449402 a = 0.661449402 Simplifying a = 0.661449402Subproblem 2
a + 0.857142857 = -1.518592259 Simplifying a + 0.857142857 = -1.518592259 Reorder the terms: 0.857142857 + a = -1.518592259 Solving 0.857142857 + a = -1.518592259 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.857142857' to each side of the equation. 0.857142857 + -0.857142857 + a = -1.518592259 + -0.857142857 Combine like terms: 0.857142857 + -0.857142857 = 0.000000000 0.000000000 + a = -1.518592259 + -0.857142857 a = -1.518592259 + -0.857142857 Combine like terms: -1.518592259 + -0.857142857 = -2.375735116 a = -2.375735116 Simplifying a = -2.375735116Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.661449402, -2.375735116}
| 2x^2+8x-42=x^2+7x+168 | | 2x^4-x^3-14x^2-5x+6=0 | | 9=-(x-7)/5 | | y=(x+3)(x-3) | | 8(7-x)=(3x-1) | | (-x+1)/6=-3 | | (x+1)/6=-3 | | y=(x-3)2 | | x^3-6x^2+16x-96=0 | | 8x-8+3x=5+7x-12+x | | 213+r=-19.79 | | -4(4)= | | 11=3y-10 | | x+33=5x-11 | | -5x^2-8x+1=0 | | 5-6x=2(3x+4) | | 6e^3x+8=19 | | 3(24)-14= | | 4x-20=3x-4 | | 264-4x=41+19 | | 1,343+4678= | | 1x/2-4=2-1x/2 | | 14+2x=5x-1 | | 5x+1=4x-6 | | 80+5y/16=100 | | -42=6+8 | | 5x+6-2x=-5-1 | | 3r-(2r-1)=7 | | 10(x+1)=10+5x | | 1x/18+8=-2 | | 3x-14=58 | | -1x/2+1=1x/2-1 |