If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 21x + -3 = 0 Reorder the terms: -3 + 21x + 2x2 = 0 Solving -3 + 21x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -1.5 + 10.5x + x2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + 10.5x + 1.5 + x2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + 10.5x + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 10.5x + x2 = 0 + 1.5 10.5x + x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 10.5x + x2 = 1.5 The x term is 10.5x. Take half its coefficient (5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. 10.5x + 27.5625 + x2 = 1.5 + 27.5625 Reorder the terms: 27.5625 + 10.5x + x2 = 1.5 + 27.5625 Combine like terms: 1.5 + 27.5625 = 29.0625 27.5625 + 10.5x + x2 = 29.0625 Factor a perfect square on the left side: (x + 5.25)(x + 5.25) = 29.0625 Calculate the square root of the right side: 5.390964663 Break this problem into two subproblems by setting (x + 5.25) equal to 5.390964663 and -5.390964663.Subproblem 1
x + 5.25 = 5.390964663 Simplifying x + 5.25 = 5.390964663 Reorder the terms: 5.25 + x = 5.390964663 Solving 5.25 + x = 5.390964663 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = 5.390964663 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = 5.390964663 + -5.25 x = 5.390964663 + -5.25 Combine like terms: 5.390964663 + -5.25 = 0.140964663 x = 0.140964663 Simplifying x = 0.140964663Subproblem 2
x + 5.25 = -5.390964663 Simplifying x + 5.25 = -5.390964663 Reorder the terms: 5.25 + x = -5.390964663 Solving 5.25 + x = -5.390964663 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = -5.390964663 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = -5.390964663 + -5.25 x = -5.390964663 + -5.25 Combine like terms: -5.390964663 + -5.25 = -10.640964663 x = -10.640964663 Simplifying x = -10.640964663Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.140964663, -10.640964663}
| .25(y+3)=5 | | 5/13-2x=-8/13 | | 4h+18=10h+15 | | 6=4.2/.7 | | r^2=-12-7r | | 3g-8g+4= | | 2x+2y=42*5 | | 8h-40=16 | | -5x-5(2-x)=(x-7) | | 9.4-12.5= | | 33+6p=3p-3(1-5p) | | 12.5+12.5= | | M+m+4= | | 2x-3(x-6)=-4(x-1) | | 6x+5x=4-1 | | z/0.25-5=-12 | | -8x-5(1-x)=-6(x+8)-5 | | 20y^2+70y+30=0 | | 4w+5w+w= | | 12x^2-22x+8=0 | | y^2-y-30= | | x-93=108 | | .25m+3=2 | | x+29=78 | | 3r+4-2=6r-4 | | 5L+3M=110 | | 0=x^3-3x | | x-4=21 | | 2(a+b)-12+2b= | | x^2+4x-2y+6=0 | | 5x^3-80x=0 | | 3(2x+1)=-(5-3x) |