If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 2x + -4 = 100 Reorder the terms: -4 + 2x + 4x2 = 100 Solving -4 + 2x + 4x2 = 100 Solving for variable 'x'. Reorder the terms: -4 + -100 + 2x + 4x2 = 100 + -100 Combine like terms: -4 + -100 = -104 -104 + 2x + 4x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -104 + 2x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-52 + x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-52 + x + 2x2)' equal to zero and attempt to solve: Simplifying -52 + x + 2x2 = 0 Solving -52 + x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -26 + 0.5x + x2 = 0 Move the constant term to the right: Add '26' to each side of the equation. -26 + 0.5x + 26 + x2 = 0 + 26 Reorder the terms: -26 + 26 + 0.5x + x2 = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 0.5x + x2 = 0 + 26 0.5x + x2 = 0 + 26 Combine like terms: 0 + 26 = 26 0.5x + x2 = 26 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5x + 0.25 + x2 = 26 + 0.25 Reorder the terms: 0.25 + 0.5x + x2 = 26 + 0.25 Combine like terms: 26 + 0.25 = 26.25 0.25 + 0.5x + x2 = 26.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 26.25 Calculate the square root of the right side: 5.123475383 Break this problem into two subproblems by setting (x + 0.5) equal to 5.123475383 and -5.123475383.Subproblem 1
x + 0.5 = 5.123475383 Simplifying x + 0.5 = 5.123475383 Reorder the terms: 0.5 + x = 5.123475383 Solving 0.5 + x = 5.123475383 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 5.123475383 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 5.123475383 + -0.5 x = 5.123475383 + -0.5 Combine like terms: 5.123475383 + -0.5 = 4.623475383 x = 4.623475383 Simplifying x = 4.623475383Subproblem 2
x + 0.5 = -5.123475383 Simplifying x + 0.5 = -5.123475383 Reorder the terms: 0.5 + x = -5.123475383 Solving 0.5 + x = -5.123475383 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -5.123475383 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -5.123475383 + -0.5 x = -5.123475383 + -0.5 Combine like terms: -5.123475383 + -0.5 = -5.623475383 x = -5.623475383 Simplifying x = -5.623475383Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.623475383, -5.623475383}Solution
x = {4.623475383, -5.623475383}
| 40z^2+26z+4=0 | | -20x^2+15x=0 | | 2x(x-y)+y(y-x)=(2x+y)(x-y) | | 1x-1y+1= | | 2/X=13/52 | | 2a(a-2x)+y(a-2x)+(a-2x)=(2a+y+1)(a-2x) | | 8x-24=x | | X^3+15=25 | | 6u-4u=18 | | 500x+200(8-x)=220 | | -3-(11/8) | | 2(2x+3)=6x-1 | | x^4-x^2-x=0 | | (-1/2-7/8) | | 4x+20=-2x-6 | | -6(x-7)=84 | | (-1/2)-(7/8) | | Y=1/5wx | | 2(6a+8)=100 | | (0.0625x^2)+(0.25x)+1=0 | | (0.16666666666666666x^2)+(0.25x)+1=0 | | x*2=200+169 | | 9^(3x)=((3^x)^x)/(3^7) | | -3(7r+8)=100 | | 8a+10b=73 | | -258=7(1+8r)-3r | | 4y+10=2y+7 | | 60/1=x/2.05 | | 1-8(1+8p)=249 | | 6x+2y+4z=z | | 2+7(5m+1)=219 | | 4c+3d-2c+2d= |