If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 6x + -3 = 0 Reorder the terms: -3 + 6x + 2x2 = 0 Solving -3 + 6x + 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 + 3x + x2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + 3x + 1.5 + x2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + 3x + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 3x + x2 = 0 + 1.5 3x + x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 3x + x2 = 1.5 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = 1.5 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 1.5 + 2.25 Combine like terms: 1.5 + 2.25 = 3.75 2.25 + 3x + x2 = 3.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 3.75 Calculate the square root of the right side: 1.936491673 Break this problem into two subproblems by setting (x + 1.5) equal to 1.936491673 and -1.936491673.Subproblem 1
x + 1.5 = 1.936491673 Simplifying x + 1.5 = 1.936491673 Reorder the terms: 1.5 + x = 1.936491673 Solving 1.5 + x = 1.936491673 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 1.936491673 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 1.936491673 + -1.5 x = 1.936491673 + -1.5 Combine like terms: 1.936491673 + -1.5 = 0.436491673 x = 0.436491673 Simplifying x = 0.436491673Subproblem 2
x + 1.5 = -1.936491673 Simplifying x + 1.5 = -1.936491673 Reorder the terms: 1.5 + x = -1.936491673 Solving 1.5 + x = -1.936491673 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -1.936491673 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -1.936491673 + -1.5 x = -1.936491673 + -1.5 Combine like terms: -1.936491673 + -1.5 = -3.436491673 x = -3.436491673 Simplifying x = -3.436491673Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.436491673, -3.436491673}
| f(x)=2x^2+6-3 | | E=8b+12n | | 4(x+8)=92 | | 4a+3b=6b-9a | | (9x-6)=(7x+22) | | 25x-30=20x-10 | | 15g+4=13g | | 4(n+2)=8-8(n-6) | | 6a+2(5a-5)=-6(7-5a)-6a | | F/4-4=11 | | -2x+5=31 | | x+3=2x-6 | | 5(x+6)+15=20 | | 4+x=3x | | X-10/7=-1 | | Y+10=z^2+3x | | -2+6=22 | | 3(5x-10)=3(x+4) | | 5=8+x/3 | | 2t-0.3=5.7+t | | X/-2+7=-1 | | -9+1=-13 | | 2a+5/a | | w=15-t | | 1/2x=15 | | -2(x+7)=17-x | | y=-2x^2-5 | | 4X^2-7=29 | | -2x+6=-3 | | 9+x=3x+23 | | 3r-6=21 | | 5n-7=-(n+7) |