If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5x(x + 2) = 0.9x + 0.2 Reorder the terms: 0.5x(2 + x) = 0.9x + 0.2 (2 * 0.5x + x * 0.5x) = 0.9x + 0.2 (1x + 0.5x2) = 0.9x + 0.2 Reorder the terms: 1x + 0.5x2 = 0.2 + 0.9x Solving 1x + 0.5x2 = 0.2 + 0.9x Solving for variable 'x'. Reorder the terms: -0.2 + 1x + -0.9x + 0.5x2 = 0.2 + 0.9x + -0.2 + -0.9x Combine like terms: 1x + -0.9x = 0.1x -0.2 + 0.1x + 0.5x2 = 0.2 + 0.9x + -0.2 + -0.9x Reorder the terms: -0.2 + 0.1x + 0.5x2 = 0.2 + -0.2 + 0.9x + -0.9x Combine like terms: 0.2 + -0.2 = 0.0 -0.2 + 0.1x + 0.5x2 = 0.0 + 0.9x + -0.9x -0.2 + 0.1x + 0.5x2 = 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -0.2 + 0.1x + 0.5x2 = 0.0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. -0.4 + 0.2x + x2 = 0 Move the constant term to the right: Add '0.4' to each side of the equation. -0.4 + 0.2x + 0.4 + x2 = 0 + 0.4 Reorder the terms: -0.4 + 0.4 + 0.2x + x2 = 0 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.2x + x2 = 0 + 0.4 0.2x + x2 = 0 + 0.4 Combine like terms: 0 + 0.4 = 0.4 0.2x + x2 = 0.4 The x term is 0.2x. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2x + 0.01 + x2 = 0.4 + 0.01 Reorder the terms: 0.01 + 0.2x + x2 = 0.4 + 0.01 Combine like terms: 0.4 + 0.01 = 0.41 0.01 + 0.2x + x2 = 0.41 Factor a perfect square on the left side: (x + 0.1)(x + 0.1) = 0.41 Calculate the square root of the right side: 0.640312424 Break this problem into two subproblems by setting (x + 0.1) equal to 0.640312424 and -0.640312424.Subproblem 1
x + 0.1 = 0.640312424 Simplifying x + 0.1 = 0.640312424 Reorder the terms: 0.1 + x = 0.640312424 Solving 0.1 + x = 0.640312424 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + x = 0.640312424 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + x = 0.640312424 + -0.1 x = 0.640312424 + -0.1 Combine like terms: 0.640312424 + -0.1 = 0.540312424 x = 0.540312424 Simplifying x = 0.540312424Subproblem 2
x + 0.1 = -0.640312424 Simplifying x + 0.1 = -0.640312424 Reorder the terms: 0.1 + x = -0.640312424 Solving 0.1 + x = -0.640312424 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + x = -0.640312424 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + x = -0.640312424 + -0.1 x = -0.640312424 + -0.1 Combine like terms: -0.640312424 + -0.1 = -0.740312424 x = -0.740312424 Simplifying x = -0.740312424Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.540312424, -0.740312424}
| 4n-4=10n+50 | | 72=8-4m | | 14c-4=12c | | -5x-2(2x+3)=-60 | | 5(2g+1)=-3(g-5) | | -9x^2-3x=0 | | f(t)=2cos(t)+sin(2t) | | -5m+8-4m=3(2-3m)-5 | | 5x+8+10x-8=180 | | -(5x+1)+4=6+x | | 2x-7(2x+12)=0 | | 9+2.7t=-d | | 42m-9+35m+12=180 | | x-2y+3z=12 | | 7-6b-8=-7b-4 | | -4x+6(3x+4)=94 | | -2y=9+7x | | 3(2x+8)-15=3x+39-9x | | -6x-8y=-4 | | p(58)=10(58)-7 | | 1/2(6x-8)=7/5(x-5)-1/5 | | -80t-64=80t-32 | | -2(-10x+2)=4(-5-6x) | | 8x=x+42 | | 1+2m=15 | | 7(x+2)=3(2x-3)+15 | | 8=2(2-5x)-7x | | 25-.4x=0 | | p(43)=10(43)-7 | | X^3-3y^3=0 | | 26x-7+20x+17=180 | | -3x+3(x+10)=-6x-7 |