If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 10x + 5 = 0 Reorder the terms: 5 + 10x + 4x2 = 0 Solving 5 + 10x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + 2.5x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 2.5x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 2.5x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 2.5x + x2 = 0 + -1.25 2.5x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 2.5x + x2 = -1.25 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 = -1.25 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = -1.25 + 1.5625 Combine like terms: -1.25 + 1.5625 = 0.3125 1.5625 + 2.5x + x2 = 0.3125 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 0.3125 Calculate the square root of the right side: 0.559016994 Break this problem into two subproblems by setting (x + 1.25) equal to 0.559016994 and -0.559016994.Subproblem 1
x + 1.25 = 0.559016994 Simplifying x + 1.25 = 0.559016994 Reorder the terms: 1.25 + x = 0.559016994 Solving 1.25 + x = 0.559016994 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 = 0.559016994 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 0.559016994 + -1.25 x = 0.559016994 + -1.25 Combine like terms: 0.559016994 + -1.25 = -0.690983006 x = -0.690983006 Simplifying x = -0.690983006Subproblem 2
x + 1.25 = -0.559016994 Simplifying x + 1.25 = -0.559016994 Reorder the terms: 1.25 + x = -0.559016994 Solving 1.25 + x = -0.559016994 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 = -0.559016994 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -0.559016994 + -1.25 x = -0.559016994 + -1.25 Combine like terms: -0.559016994 + -1.25 = -1.809016994 x = -1.809016994 Simplifying x = -1.809016994Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.690983006, -1.809016994}
| 5(x+3)+31=9x-4(x+2) | | 2x+6=x+12 | | 10x+2=6x+4 | | 11(a-1)=a-5+2(5a-3) | | 120-6x=2x+24 | | 5x+3=2x+21 | | 7(x+2)=3x-5+4(x-1) | | 2y^2-10-5y=y^2-2y | | x^2-2x+12=0 | | 7-12x=15-8x | | -6x+x-2x=-49 | | x^2+3x-2= | | 5c^2=16c+16 | | 11(6x-3)=132x | | y-(3y+11)=5(y-2)-8y | | 2n^2-5n+7=0 | | -5x+3=-3x+5 | | 2x-5=4x+3 | | -9(-9x-4y+9)= | | 9(b+4)=9(b+1)+24 | | 9x+122+14x=-62 | | 2x+6=41-3x | | xa+b=xc-d | | 2(2x-8)+2x=28 | | 5+h=17-2h | | 5q+14=-6 | | 10h+35=4h-28 | | 2x+37=12x-43 | | 53=4f+5 | | 3(z+2)=5(8-5z) | | 53=4t+5 | | -1+(-24)+(-4)+(-11)= |