If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5 = -2(x + 2)(x + 2) + 10 Reorder the terms: 5 = -2(2 + x)(x + 2) + 10 Reorder the terms: 5 = -2(2 + x)(2 + x) + 10 Multiply (2 + x) * (2 + x) 5 = -2(2(2 + x) + x(2 + x)) + 10 5 = -2((2 * 2 + x * 2) + x(2 + x)) + 10 5 = -2((4 + 2x) + x(2 + x)) + 10 5 = -2(4 + 2x + (2 * x + x * x)) + 10 5 = -2(4 + 2x + (2x + x2)) + 10 Combine like terms: 2x + 2x = 4x 5 = -2(4 + 4x + x2) + 10 5 = (4 * -2 + 4x * -2 + x2 * -2) + 10 5 = (-8 + -8x + -2x2) + 10 Reorder the terms: 5 = -8 + 10 + -8x + -2x2 Combine like terms: -8 + 10 = 2 5 = 2 + -8x + -2x2 Solving 5 = 2 + -8x + -2x2 Solving for variable 'x'. Combine like terms: 5 + -2 = 3 3 + 8x + 2x2 = 2 + -8x + -2x2 + -2 + 8x + 2x2 Reorder the terms: 3 + 8x + 2x2 = 2 + -2 + -8x + 8x + -2x2 + 2x2 Combine like terms: 2 + -2 = 0 3 + 8x + 2x2 = 0 + -8x + 8x + -2x2 + 2x2 3 + 8x + 2x2 = -8x + 8x + -2x2 + 2x2 Combine like terms: -8x + 8x = 0 3 + 8x + 2x2 = 0 + -2x2 + 2x2 3 + 8x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 3 + 8x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 4x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 4x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 4x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 4x + x2 = 0 + -1.5 4x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 4x + x2 = -1.5 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -1.5 + 4 Reorder the terms: 4 + 4x + x2 = -1.5 + 4 Combine like terms: -1.5 + 4 = 2.5 4 + 4x + x2 = 2.5 Factor a perfect square on the left side: (x + 2)(x + 2) = 2.5 Calculate the square root of the right side: 1.58113883 Break this problem into two subproblems by setting (x + 2) equal to 1.58113883 and -1.58113883.Subproblem 1
x + 2 = 1.58113883 Simplifying x + 2 = 1.58113883 Reorder the terms: 2 + x = 1.58113883 Solving 2 + x = 1.58113883 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 1.58113883 + -2 Combine like terms: 2 + -2 = 0 0 + x = 1.58113883 + -2 x = 1.58113883 + -2 Combine like terms: 1.58113883 + -2 = -0.41886117 x = -0.41886117 Simplifying x = -0.41886117Subproblem 2
x + 2 = -1.58113883 Simplifying x + 2 = -1.58113883 Reorder the terms: 2 + x = -1.58113883 Solving 2 + x = -1.58113883 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -1.58113883 + -2 Combine like terms: 2 + -2 = 0 0 + x = -1.58113883 + -2 x = -1.58113883 + -2 Combine like terms: -1.58113883 + -2 = -3.58113883 x = -3.58113883 Simplifying x = -3.58113883Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.41886117, -3.58113883}
| 150/325 | | -g+7=2g-8 | | -36+2w=-3w-4w | | 8(x-9)=9 | | (x-1)/(x-16)=2 | | 3e+1=-18e-4 | | 19-18C=5C+5 | | 2y+2x=sx | | v/8=2.8 | | 19x-x^2=84 | | 8x+2y(5x-4)=-12 | | x^2-2y-3=0 | | -11=7x-4 | | 3(x+2)+4x-5=7 | | 2y-8=-5x | | .8=2.8 | | Z+60+z=112 | | (1)-2y=6 | | 4+(2k-0)=0 | | 8x+2=1x+9 | | 3(2m-5)-m=3+6m | | =2c^2-2cd+4dc-4d^2-3ec+3ed+c-d | | 8=2.8 | | 10=2(x+1)(x+1)-4 | | u/8-7u/2=u/16 | | 2y*2x= | | 4x^2+5x=2x+2 | | x^2y-9y-18=0 | | 0.05+0.10=1.15 | | 3/1/2x-5/1/3x,x=2/5 | | x/1=21 | | 6+x-8=16-2x |