If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4.9x2 + 30x + 3 = 20 Reorder the terms: 3 + 30x + -4.9x2 = 20 Solving 3 + 30x + -4.9x2 = 20 Solving for variable 'x'. Reorder the terms: 3 + -20 + 30x + -4.9x2 = 20 + -20 Combine like terms: 3 + -20 = -17 -17 + 30x + -4.9x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -17 + 30x + -4.9x2 = 0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 3.469387755 + -6.12244898x + x2 = 0 Move the constant term to the right: Add '-3.469387755' to each side of the equation. 3.469387755 + -6.12244898x + -3.469387755 + x2 = 0 + -3.469387755 Reorder the terms: 3.469387755 + -3.469387755 + -6.12244898x + x2 = 0 + -3.469387755 Combine like terms: 3.469387755 + -3.469387755 = 0.000000000 0.000000000 + -6.12244898x + x2 = 0 + -3.469387755 -6.12244898x + x2 = 0 + -3.469387755 Combine like terms: 0 + -3.469387755 = -3.469387755 -6.12244898x + x2 = -3.469387755 The x term is -6.12244898x. Take half its coefficient (-3.06122449). Square it (9.371095378) and add it to both sides. Add '9.371095378' to each side of the equation. -6.12244898x + 9.371095378 + x2 = -3.469387755 + 9.371095378 Reorder the terms: 9.371095378 + -6.12244898x + x2 = -3.469387755 + 9.371095378 Combine like terms: -3.469387755 + 9.371095378 = 5.901707623 9.371095378 + -6.12244898x + x2 = 5.901707623 Factor a perfect square on the left side: (x + -3.06122449)(x + -3.06122449) = 5.901707623 Calculate the square root of the right side: 2.429343044 Break this problem into two subproblems by setting (x + -3.06122449) equal to 2.429343044 and -2.429343044.Subproblem 1
x + -3.06122449 = 2.429343044 Simplifying x + -3.06122449 = 2.429343044 Reorder the terms: -3.06122449 + x = 2.429343044 Solving -3.06122449 + x = 2.429343044 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.06122449' to each side of the equation. -3.06122449 + 3.06122449 + x = 2.429343044 + 3.06122449 Combine like terms: -3.06122449 + 3.06122449 = 0.00000000 0.00000000 + x = 2.429343044 + 3.06122449 x = 2.429343044 + 3.06122449 Combine like terms: 2.429343044 + 3.06122449 = 5.490567534 x = 5.490567534 Simplifying x = 5.490567534Subproblem 2
x + -3.06122449 = -2.429343044 Simplifying x + -3.06122449 = -2.429343044 Reorder the terms: -3.06122449 + x = -2.429343044 Solving -3.06122449 + x = -2.429343044 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.06122449' to each side of the equation. -3.06122449 + 3.06122449 + x = -2.429343044 + 3.06122449 Combine like terms: -3.06122449 + 3.06122449 = 0.00000000 0.00000000 + x = -2.429343044 + 3.06122449 x = -2.429343044 + 3.06122449 Combine like terms: -2.429343044 + 3.06122449 = 0.631881446 x = 0.631881446 Simplifying x = 0.631881446Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.490567534, 0.631881446}
| 9.8+2=3.8x+20 | | 5.3x+(-7)=2.3x+5 | | y=b+-60x | | -4/7w=16 | | 9.3x+(-6.2x)=12.4 | | 1.3x+2.8x=12.3 | | 6y^4-15y^3=0 | | (-3x^1/2)+(x)-(4)=0 | | 60/6 | | -13+2b=11 | | -4.5x=13.5 | | -3x^1/2+x-4=0 | | 3.2x=12.8 | | PT=6x+7 | | (8x-6)(7x+6)=0 | | 7(p+4q-12)= | | 10X^2+7x-15=0 | | 10X^2-x-30=0 | | 4x-15=3x-15 | | 5-6b=6b+5 | | 5(p+5q-13)= | | 6(5x-2)(2x+3)=0 | | 9(X-3)/3=6(X+2)/12 | | -4y^2=24y | | -7(x-7)-6=43 | | x^2/3-x/2-35/6=0 | | 3y+x=4x+-3 | | 16/-11=n/29 | | -5(3T-5)+2T=6T-5 | | 37/y=7/3 | | -2cos^2x+5=5sinx | | p^2xP^6= |