If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (6x2 + -3x + 22) + (2x2 + 9x + -54) = 0 Reorder the terms: (22 + -3x + 6x2) + (2x2 + 9x + -54) = 0 Remove parenthesis around (22 + -3x + 6x2) 22 + -3x + 6x2 + (2x2 + 9x + -54) = 0 Reorder the terms: 22 + -3x + 6x2 + (-54 + 9x + 2x2) = 0 Remove parenthesis around (-54 + 9x + 2x2) 22 + -3x + 6x2 + -54 + 9x + 2x2 = 0 Reorder the terms: 22 + -54 + -3x + 9x + 6x2 + 2x2 = 0 Combine like terms: 22 + -54 = -32 -32 + -3x + 9x + 6x2 + 2x2 = 0 Combine like terms: -3x + 9x = 6x -32 + 6x + 6x2 + 2x2 = 0 Combine like terms: 6x2 + 2x2 = 8x2 -32 + 6x + 8x2 = 0 Solving -32 + 6x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-16 + 3x + 4x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-16 + 3x + 4x2)' equal to zero and attempt to solve: Simplifying -16 + 3x + 4x2 = 0 Solving -16 + 3x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -4 + 0.75x + x2 = 0 Move the constant term to the right: Add '4' to each side of the equation. -4 + 0.75x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + 0.75x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 0.75x + x2 = 0 + 4 0.75x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 0.75x + x2 = 4 The x term is 0.75x. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75x + 0.140625 + x2 = 4 + 0.140625 Reorder the terms: 0.140625 + 0.75x + x2 = 4 + 0.140625 Combine like terms: 4 + 0.140625 = 4.140625 0.140625 + 0.75x + x2 = 4.140625 Factor a perfect square on the left side: (x + 0.375)(x + 0.375) = 4.140625 Calculate the square root of the right side: 2.034852575 Break this problem into two subproblems by setting (x + 0.375) equal to 2.034852575 and -2.034852575.Subproblem 1
x + 0.375 = 2.034852575 Simplifying x + 0.375 = 2.034852575 Reorder the terms: 0.375 + x = 2.034852575 Solving 0.375 + x = 2.034852575 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.375' to each side of the equation. 0.375 + -0.375 + x = 2.034852575 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + x = 2.034852575 + -0.375 x = 2.034852575 + -0.375 Combine like terms: 2.034852575 + -0.375 = 1.659852575 x = 1.659852575 Simplifying x = 1.659852575Subproblem 2
x + 0.375 = -2.034852575 Simplifying x + 0.375 = -2.034852575 Reorder the terms: 0.375 + x = -2.034852575 Solving 0.375 + x = -2.034852575 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.375' to each side of the equation. 0.375 + -0.375 + x = -2.034852575 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + x = -2.034852575 + -0.375 x = -2.034852575 + -0.375 Combine like terms: -2.034852575 + -0.375 = -2.409852575 x = -2.409852575 Simplifying x = -2.409852575Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.659852575, -2.409852575}Solution
x = {1.659852575, -2.409852575}
| n+2(n+4)=1+3(n+2) | | 0.7x+0.1=0.9x-0.3 | | 143.57+-122.96=156.4 | | -8b-2=30 | | x(2x-3)+x(7x-4)=(9x+9)(x-2) | | 5x+4y+50=180 | | 4t^2+5=0 | | 6x-7=3(x+4)-15 | | n^2-10n+22-2=0 | | -1-m=-5 | | x-31=51 | | 0.10x+0.05(88-x)=5.30 | | 4y-15=4y+11 | | n-135=19.9 | | x^2-11x+19-5=0 | | 5(x-4)=-4+9(x+1) | | 6x*ln(4x)-6x= | | 3(x+2)-1(x+1)= | | 9x+(2x+8)=180 | | 38+2b=4(b+6) | | 1=40-4x | | n^2+7n+5=5 | | 9x+(2x+8)= | | (5x-3)(2x+7)= | | 7p-49=-112 | | 48=2(3+2w)+w | | -42=-6j | | -42=y-2 | | x-.5x-7=0 | | 10x^2+88x-18=0 | | 3x+5+2x+15=180 | | 0.007(8-k)+0.02(k-4)=1 |