If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5x2 + 27 = 54 + -4.5 * 0.5x + -3 * 0.5x Reorder the terms: 27 + 0.5x2 = 54 + -4.5 * 0.5x + -3 * 0.5x Multiply -4.5 * 0.5 27 + 0.5x2 = 54 + -2.25x + -3 * 0.5x Multiply -3 * 0.5 27 + 0.5x2 = 54 + -2.25x + -1.5x Combine like terms: -2.25x + -1.5x = -3.75x 27 + 0.5x2 = 54 + -3.75x Solving 27 + 0.5x2 = 54 + -3.75x Solving for variable 'x'. Reorder the terms: 27 + -54 + 3.75x + 0.5x2 = 54 + -3.75x + -54 + 3.75x Combine like terms: 27 + -54 = -27 -27 + 3.75x + 0.5x2 = 54 + -3.75x + -54 + 3.75x Reorder the terms: -27 + 3.75x + 0.5x2 = 54 + -54 + -3.75x + 3.75x Combine like terms: 54 + -54 = 0 -27 + 3.75x + 0.5x2 = 0 + -3.75x + 3.75x -27 + 3.75x + 0.5x2 = -3.75x + 3.75x Combine like terms: -3.75x + 3.75x = 0.00 -27 + 3.75x + 0.5x2 = 0.00 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. -54 + 7.5x + x2 = 0.0 Move the constant term to the right: Add '54' to each side of the equation. -54 + 7.5x + 54 + x2 = 0.0 + 54 Reorder the terms: -54 + 54 + 7.5x + x2 = 0.0 + 54 Combine like terms: -54 + 54 = 0 0 + 7.5x + x2 = 0.0 + 54 7.5x + x2 = 0.0 + 54 Combine like terms: 0.0 + 54 = 54 7.5x + x2 = 54 The x term is 7.5x. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5x + 14.0625 + x2 = 54 + 14.0625 Reorder the terms: 14.0625 + 7.5x + x2 = 54 + 14.0625 Combine like terms: 54 + 14.0625 = 68.0625 14.0625 + 7.5x + x2 = 68.0625 Factor a perfect square on the left side: (x + 3.75)(x + 3.75) = 68.0625 Calculate the square root of the right side: 8.25 Break this problem into two subproblems by setting (x + 3.75) equal to 8.25 and -8.25.Subproblem 1
x + 3.75 = 8.25 Simplifying x + 3.75 = 8.25 Reorder the terms: 3.75 + x = 8.25 Solving 3.75 + x = 8.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + x = 8.25 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + x = 8.25 + -3.75 x = 8.25 + -3.75 Combine like terms: 8.25 + -3.75 = 4.5 x = 4.5 Simplifying x = 4.5Subproblem 2
x + 3.75 = -8.25 Simplifying x + 3.75 = -8.25 Reorder the terms: 3.75 + x = -8.25 Solving 3.75 + x = -8.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + x = -8.25 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + x = -8.25 + -3.75 x = -8.25 + -3.75 Combine like terms: -8.25 + -3.75 = -12 x = -12 Simplifying x = -12Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.5, -12}
| 5+8c= | | -8x-15=-143 | | 3(x+8)=2(4x+27) | | 3x+11-x=8+4x-7 | | 3(x-6)+1=3x-16 | | x/10=1/9(247-x) | | x+1-2x-2=1 | | n-4/2.5=4.5 | | 12.3=0.41x | | 9x-9+7x= | | 1/2x=2/5 | | 18=15-10x | | M-t=3p*2 | | 8(x-7)+25=8x-31 | | 80=1.05p^8 | | x^2+1=2(5x-12) | | 4/5y-1/3y=14 | | 5x+-6=18 | | 3(9-2x)=15 | | 2.4*3+1.5=8.7 | | 3.8*3-1.4=9 | | -12=2/3x | | 3(x+9)=2(3x+27) | | 9x^4+123x+400=0 | | 14x=1176 | | 7cos^2x+2cosx=0 | | 0.70x+0.05(8-x)=0.10(-9) | | 2=h/3 | | 36-32a+a=0 | | -0.75x+0.8x=.05 | | 9x-84+9x-60=180 | | 4(5+2y)+2(2)= |