If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -5x2 + 10x + 20 = 0 Reorder the terms: 20 + 10x + -5x2 = 0 Solving 20 + 10x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(4 + 2x + -1x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying 4 + 2x + -1x2 = 0 Solving 4 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -4 + -2x + x2 = 0 Move the constant term to the right: Add '4' to each side of the equation. -4 + -2x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + -2x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2x + x2 = 0 + 4 -2x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -2x + x2 = 4 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 = 4 + 1 Reorder the terms: 1 + -2x + x2 = 4 + 1 Combine like terms: 4 + 1 = 5 1 + -2x + x2 = 5 Factor a perfect square on the left side: (x + -1)(x + -1) = 5 Calculate the square root of the right side: 2.236067978 Break this problem into two subproblems by setting (x + -1) equal to 2.236067978 and -2.236067978.Subproblem 1
x + -1 = 2.236067978 Simplifying x + -1 = 2.236067978 Reorder the terms: -1 + x = 2.236067978 Solving -1 + x = 2.236067978 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 = 2.236067978 + 1 Combine like terms: -1 + 1 = 0 0 + x = 2.236067978 + 1 x = 2.236067978 + 1 Combine like terms: 2.236067978 + 1 = 3.236067978 x = 3.236067978 Simplifying x = 3.236067978Subproblem 2
x + -1 = -2.236067978 Simplifying x + -1 = -2.236067978 Reorder the terms: -1 + x = -2.236067978 Solving -1 + x = -2.236067978 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 = -2.236067978 + 1 Combine like terms: -1 + 1 = 0 0 + x = -2.236067978 + 1 x = -2.236067978 + 1 Combine like terms: -2.236067978 + 1 = -1.236067978 x = -1.236067978 Simplifying x = -1.236067978Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.236067978, -1.236067978}Solution
x = {3.236067978, -1.236067978}
| 8-4x=10-2x | | -5x^2+10+20=0 | | 42-36=6x+23 | | 15z+2=4 | | 5n^2+7n-6=0 | | 6y-2=8y-5 | | 13-8x=103-29x | | 15w+15=0 | | -3x+2=23 | | 2x+7=5x-3 | | 2x=2.4 | | n^2-12n-45=0 | | 8*4=12x | | 124-5x=2x+19 | | 0.1x+0.6y=-2.9 | | 10b+9b= | | 10x-8y+4=0 | | -38-5x=12-10x | | 8-3x=2x-17 | | y-3=(x+4) | | x^2-40=-3 | | y+3=(x-4) | | 2x-72=90 | | y+3=(x-3) | | 2(3+x)= | | x-5x=6 | | 12x^2+18x+24=0 | | -5-6x=13-9x | | 6(3+4x)-7=155 | | 15x^2-19x-2=0 | | 3x+15=2(x+15) | | 9x^2+18x+5= |