If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 2(x2 + 2x + -18) Reorder the terms: 0 = 2(-18 + 2x + x2) 0 = (-18 * 2 + 2x * 2 + x2 * 2) 0 = (-36 + 4x + 2x2) Solving 0 = -36 + 4x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 36 = 36 36 + -4x + -2x2 = -36 + 4x + 2x2 + 36 + -4x + -2x2 Reorder the terms: 36 + -4x + -2x2 = -36 + 36 + 4x + -4x + 2x2 + -2x2 Combine like terms: -36 + 36 = 0 36 + -4x + -2x2 = 0 + 4x + -4x + 2x2 + -2x2 36 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2 Combine like terms: 4x + -4x = 0 36 + -4x + -2x2 = 0 + 2x2 + -2x2 36 + -4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 36 + -4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(18 + -2x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(18 + -2x + -1x2)' equal to zero and attempt to solve: Simplifying 18 + -2x + -1x2 = 0 Solving 18 + -2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -18 + 2x + x2 = 0 Move the constant term to the right: Add '18' to each side of the equation. -18 + 2x + 18 + x2 = 0 + 18 Reorder the terms: -18 + 18 + 2x + x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2x + x2 = 0 + 18 2x + x2 = 0 + 18 Combine like terms: 0 + 18 = 18 2x + x2 = 18 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 18 + 1 Reorder the terms: 1 + 2x + x2 = 18 + 1 Combine like terms: 18 + 1 = 19 1 + 2x + x2 = 19 Factor a perfect square on the left side: (x + 1)(x + 1) = 19 Calculate the square root of the right side: 4.358898944 Break this problem into two subproblems by setting (x + 1) equal to 4.358898944 and -4.358898944.Subproblem 1
x + 1 = 4.358898944 Simplifying x + 1 = 4.358898944 Reorder the terms: 1 + x = 4.358898944 Solving 1 + x = 4.358898944 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 4.358898944 + -1 Combine like terms: 1 + -1 = 0 0 + x = 4.358898944 + -1 x = 4.358898944 + -1 Combine like terms: 4.358898944 + -1 = 3.358898944 x = 3.358898944 Simplifying x = 3.358898944Subproblem 2
x + 1 = -4.358898944 Simplifying x + 1 = -4.358898944 Reorder the terms: 1 + x = -4.358898944 Solving 1 + x = -4.358898944 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -4.358898944 + -1 Combine like terms: 1 + -1 = 0 0 + x = -4.358898944 + -1 x = -4.358898944 + -1 Combine like terms: -4.358898944 + -1 = -5.358898944 x = -5.358898944 Simplifying x = -5.358898944Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.358898944, -5.358898944}Solution
x = {3.358898944, -5.358898944}
| -192+15c=11c | | 3/4w-5=1/4w-1 | | 2log(2x+1)=1+log(x-2) | | 10x-42=4x-5 | | 2sin^2x=3+cosx | | 8x+9.68=4x+15 | | -11.2+1.1h=4.2 | | 7x-4=29+15 | | x-8+x+14=63 | | 15y=12y+30 | | 8+30.34=-22.87 | | 1.1h=-7 | | 1.1h=-7 | | 9/6=-9 | | 3(28)-2(28+7)=28+14 | | 2j(5)=8j+7 | | k=c(0)+273 | | k=c(0)+273 | | 9/6=-9 | | 3(28)-2(28+7)=28+14 | | 9-3x=5x | | 9/6=-9 | | 9-3x=5x | | 3(28)-2(28+7)=28+14 | | 9-3x=5x | | 10=5/r | | 21.8x=-124.20 | | 21.8x=-124.20 | | 3cosx+1=1 | | x+2.3=2y+1.6 | | -4+7times=3 | | -9n^2-10n=-5 |