If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4x2 + 12x = -9 Reorder the terms: 12x + -4x2 = -9 Solving 12x + -4x2 = -9 Solving for variable 'x'. Reorder the terms: 9 + 12x + -4x2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 12x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -2.25 + -3x + x2 = 0 Move the constant term to the right: Add '2.25' to each side of the equation. -2.25 + -3x + 2.25 + x2 = 0 + 2.25 Reorder the terms: -2.25 + 2.25 + -3x + x2 = 0 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + -3x + x2 = 0 + 2.25 -3x + x2 = 0 + 2.25 Combine like terms: 0 + 2.25 = 2.25 -3x + x2 = 2.25 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 = 2.25 + 2.25 Reorder the terms: 2.25 + -3x + x2 = 2.25 + 2.25 Combine like terms: 2.25 + 2.25 = 4.5 2.25 + -3x + x2 = 4.5 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = 4.5 Calculate the square root of the right side: 2.121320344 Break this problem into two subproblems by setting (x + -1.5) equal to 2.121320344 and -2.121320344.Subproblem 1
x + -1.5 = 2.121320344 Simplifying x + -1.5 = 2.121320344 Reorder the terms: -1.5 + x = 2.121320344 Solving -1.5 + x = 2.121320344 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 = 2.121320344 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 2.121320344 + 1.5 x = 2.121320344 + 1.5 Combine like terms: 2.121320344 + 1.5 = 3.621320344 x = 3.621320344 Simplifying x = 3.621320344Subproblem 2
x + -1.5 = -2.121320344 Simplifying x + -1.5 = -2.121320344 Reorder the terms: -1.5 + x = -2.121320344 Solving -1.5 + x = -2.121320344 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 = -2.121320344 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -2.121320344 + 1.5 x = -2.121320344 + 1.5 Combine like terms: -2.121320344 + 1.5 = -0.621320344 x = -0.621320344 Simplifying x = -0.621320344Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.621320344, -0.621320344}
| 8x+21=5 | | m+m=67 | | 25c-15=135 | | 56=4d+16 | | x/5-3+3 | | r^2+2r+1-(980/500)=0 | | 6=c/3+5 | | (5/12)/(25/36)-(8/45)*(9/16) | | 5(1/5+3)=21/4 | | (3/8)*(1/2)+(7/19)/(16/19) | | 3/8*1/2+7/19/16/19 | | (5/4)^2-1/3+1/4 | | 38x=79 | | (1/4+1/12)*1/3 | | 4y-4+4= | | 7x-12=2x+3 | | 5ax+2a=9a | | (3/5)^2*(1/3) | | 7/6*1/14+(7/2)/(21/5) | | 3/4w-5=7/4w | | 7/6*1/14+(7/2/21/5) | | 9y-2y-8=3y+38+y | | 2(6x-3)-1=9(3x+2)-10 | | 8+5x2-9/3 | | r^2+2r+(1-980/500) | | 5x-2x-15=2x+14 | | 3/7*(1/8+1/4)*56/3 | | 2p-7=39 | | 8/3/(2/3+1/9) | | s-7=32 | | 1/2+(1/2)^2-5/8 | | -15+11= |