If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + -71x + 24 = 0 Reorder the terms: 24 + -71x + 6x2 = 0 Solving 24 + -71x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 4 + -11.83333333x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -11.83333333x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -11.83333333x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11.83333333x + x2 = 0 + -4 -11.83333333x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -11.83333333x + x2 = -4 The x term is -11.83333333x. Take half its coefficient (-5.916666665). Square it (35.00694442) and add it to both sides. Add '35.00694442' to each side of the equation. -11.83333333x + 35.00694442 + x2 = -4 + 35.00694442 Reorder the terms: 35.00694442 + -11.83333333x + x2 = -4 + 35.00694442 Combine like terms: -4 + 35.00694442 = 31.00694442 35.00694442 + -11.83333333x + x2 = 31.00694442 Factor a perfect square on the left side: (x + -5.916666665)(x + -5.916666665) = 31.00694442 Calculate the square root of the right side: 5.568387955 Break this problem into two subproblems by setting (x + -5.916666665) equal to 5.568387955 and -5.568387955.Subproblem 1
x + -5.916666665 = 5.568387955 Simplifying x + -5.916666665 = 5.568387955 Reorder the terms: -5.916666665 + x = 5.568387955 Solving -5.916666665 + x = 5.568387955 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.916666665' to each side of the equation. -5.916666665 + 5.916666665 + x = 5.568387955 + 5.916666665 Combine like terms: -5.916666665 + 5.916666665 = 0.000000000 0.000000000 + x = 5.568387955 + 5.916666665 x = 5.568387955 + 5.916666665 Combine like terms: 5.568387955 + 5.916666665 = 11.48505462 x = 11.48505462 Simplifying x = 11.48505462Subproblem 2
x + -5.916666665 = -5.568387955 Simplifying x + -5.916666665 = -5.568387955 Reorder the terms: -5.916666665 + x = -5.568387955 Solving -5.916666665 + x = -5.568387955 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.916666665' to each side of the equation. -5.916666665 + 5.916666665 + x = -5.568387955 + 5.916666665 Combine like terms: -5.916666665 + 5.916666665 = 0.000000000 0.000000000 + x = -5.568387955 + 5.916666665 x = -5.568387955 + 5.916666665 Combine like terms: -5.568387955 + 5.916666665 = 0.34827871 x = 0.34827871 Simplifying x = 0.34827871Solution
The solution to the problem is based on the solutions from the subproblems. x = {11.48505462, 0.34827871}
| 6x+5y=-32 | | 1/2x-7=14 | | 4(7k+3)=2(4-9k) | | 2(x-8)+2x=4(x+5)-36 | | 71-5x=141 | | -10=-(1+6n)+3n | | (x-6)/14=7x/21 | | 4x-6=20x+9 | | 5(3n-2)=(3n+2)+9 | | x-(-4+3x)=8 | | 2x-301=707 | | 9x+3/2=x | | -8x-3(x+4)=x+7 | | -47=7+6x | | 6x=4(x+1)+2x-6 | | a+b=-2 | | 9=-4(2-7x)-5x | | 3/4(8x-12)=0 | | -4(2-7x)-5x=9 | | -6(x+3)+4x+7=5x+8 | | -1(x-27)+3(x+3)=9(x-3) | | 3.4x-1.32=2.04-2.2x | | 9x+9=30 | | 4x+7=30/x | | 14m+9-6m=8m+9 | | (1/6)(8x-7)=(x+7)/12 | | x+3+8x=2x-1 | | 5y+3(y-6)=3(y+2)-2 | | 3x+7=8x-13 | | (1/6)(8x-7)=(x+7/12) | | 2a-5b=38 | | -1(x-12)+2(x+3)=6(x+3) |