If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 = -2x + 4 Reorder the terms: 4x2 = 4 + -2x Solving 4x2 = 4 + -2x Solving for variable 'x'. Reorder the terms: -4 + 2x + 4x2 = 4 + -2x + -4 + 2x Reorder the terms: -4 + 2x + 4x2 = 4 + -4 + -2x + 2x Combine like terms: 4 + -4 = 0 -4 + 2x + 4x2 = 0 + -2x + 2x -4 + 2x + 4x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 2x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + x + 2x2)' equal to zero and attempt to solve: Simplifying -2 + x + 2x2 = 0 Solving -2 + x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -1 + 0.5x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + 0.5x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + 0.5x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 0.5x + x2 = 0 + 1 0.5x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 0.5x + x2 = 1 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5x + 0.25 + x2 = 1 + 0.25 Reorder the terms: 0.25 + 0.5x + x2 = 1 + 0.25 Combine like terms: 1 + 0.25 = 1.25 0.25 + 0.5x + x2 = 1.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (x + 0.5) equal to 1.118033989 and -1.118033989.Subproblem 1
x + 0.5 = 1.118033989 Simplifying x + 0.5 = 1.118033989 Reorder the terms: 0.5 + x = 1.118033989 Solving 0.5 + x = 1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 1.118033989 + -0.5 x = 1.118033989 + -0.5 Combine like terms: 1.118033989 + -0.5 = 0.618033989 x = 0.618033989 Simplifying x = 0.618033989Subproblem 2
x + 0.5 = -1.118033989 Simplifying x + 0.5 = -1.118033989 Reorder the terms: 0.5 + x = -1.118033989 Solving 0.5 + x = -1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -1.118033989 + -0.5 x = -1.118033989 + -0.5 Combine like terms: -1.118033989 + -0.5 = -1.618033989 x = -1.618033989 Simplifying x = -1.618033989Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.618033989, -1.618033989}Solution
x = {0.618033989, -1.618033989}
| (4x+5)=0 | | 14x^2+17x-5=1 | | x-23=8 | | 1+2x=-2x+25 | | 7x^2+14=0 | | 21x^2*9x^2=29 | | 2+30nx=7 | | 7v=2vm-20 | | 5y-1+y+31=8y+30-6y | | 3y-6+y+30=7y+30-5y | | 65-(4x+11)=4(x+9)+x | | 73-(5x+6)=5(x+9)+x | | -4(8+5m)=8 | | 2x+4y=84 | | x(4x+3)=0 | | x+y^2=14 | | x^2+7x=24 | | -3t-7=-4 | | -7b-4=10 | | 2(f+5)=16 | | 8p-7+1= | | 5256-420=3780 | | 235+8m=75 | | 5n+7=42 | | 4x^2-13x+13=4 | | 75-1k=-95 | | 18=-1a+2 | | 10=9p-8 | | 20=10a+4-6a | | -8c+1=3 | | h(x)=56 | | 2d+8=-10 |