If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 12x2 + 30x + -47 Reorder the terms: 0 = -47 + 30x + 12x2 Solving 0 = -47 + 30x + 12x2 Solving for variable 'x'. Combine like terms: 0 + 47 = 47 47 + -30x + -12x2 = -47 + 30x + 12x2 + 47 + -30x + -12x2 Reorder the terms: 47 + -30x + -12x2 = -47 + 47 + 30x + -30x + 12x2 + -12x2 Combine like terms: -47 + 47 = 0 47 + -30x + -12x2 = 0 + 30x + -30x + 12x2 + -12x2 47 + -30x + -12x2 = 30x + -30x + 12x2 + -12x2 Combine like terms: 30x + -30x = 0 47 + -30x + -12x2 = 0 + 12x2 + -12x2 47 + -30x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 47 + -30x + -12x2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. -3.916666667 + 2.5x + x2 = 0 Move the constant term to the right: Add '3.916666667' to each side of the equation. -3.916666667 + 2.5x + 3.916666667 + x2 = 0 + 3.916666667 Reorder the terms: -3.916666667 + 3.916666667 + 2.5x + x2 = 0 + 3.916666667 Combine like terms: -3.916666667 + 3.916666667 = 0.000000000 0.000000000 + 2.5x + x2 = 0 + 3.916666667 2.5x + x2 = 0 + 3.916666667 Combine like terms: 0 + 3.916666667 = 3.916666667 2.5x + x2 = 3.916666667 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = 3.916666667 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = 3.916666667 + 1.5625 Combine like terms: 3.916666667 + 1.5625 = 5.479166667 1.5625 + 2.5x + x2 = 5.479166667 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 5.479166667 Calculate the square root of the right side: 2.340761984 Break this problem into two subproblems by setting (x + 1.25) equal to 2.340761984 and -2.340761984.Subproblem 1
x + 1.25 = 2.340761984 Simplifying x + 1.25 = 2.340761984 Reorder the terms: 1.25 + x = 2.340761984 Solving 1.25 + x = 2.340761984 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 2.340761984 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 2.340761984 + -1.25 x = 2.340761984 + -1.25 Combine like terms: 2.340761984 + -1.25 = 1.090761984 x = 1.090761984 Simplifying x = 1.090761984Subproblem 2
x + 1.25 = -2.340761984 Simplifying x + 1.25 = -2.340761984 Reorder the terms: 1.25 + x = -2.340761984 Solving 1.25 + x = -2.340761984 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -2.340761984 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -2.340761984 + -1.25 x = -2.340761984 + -1.25 Combine like terms: -2.340761984 + -1.25 = -3.590761984 x = -3.590761984 Simplifying x = -3.590761984Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.090761984, -3.590761984}
| 0.39x+1.19=3.92 | | 4a+2a-6-3a=a+7-5-2a | | 6x+(9x-2)+6x+(9x-2)= | | 3y+6x=18 | | 3b+6+4b-2= | | -13=7y+85 | | 5a+7=2a+5 | | 2x(x^3+7)= | | 2y-6=4y-8 | | x^4-15x^2+44=0 | | 15x=x(55+4) | | 6k-2k-5= | | 4y-2=2y-4 | | 5x-15=-60 | | 3x^4+11x^3=4x^2 | | 2m^2-m-3=0 | | .25v+3=.20v+.35 | | 3w^2-10w=8 | | x^3+5x^2-4x-20=0 | | 4x^7-26x^6=48x^5 | | 6t^3-6=9t^3-6t | | 2a+3=-2a-5 | | 0=-16x^2+38x+5 | | 12x-11=11x-16 | | 3w-7.9=-4.75-6w | | 3x-8=9x+22 | | X(X+6)=7 | | 2x^2-17x+21=0 | | -3p+8=6-(8p+4) | | 6x-5=-2+11 | | 8x^2+50x-42=0 | | 3(x+3)=-18 |