If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4x2 + 16x = -28 Reorder the terms: 16x + -4x2 = -28 Solving 16x + -4x2 = -28 Solving for variable 'x'. Reorder the terms: 28 + 16x + -4x2 = -28 + 28 Combine like terms: -28 + 28 = 0 28 + 16x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(7 + 4x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + 4x + -1x2)' equal to zero and attempt to solve: Simplifying 7 + 4x + -1x2 = 0 Solving 7 + 4x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -7 + -4x + x2 = 0 Move the constant term to the right: Add '7' to each side of the equation. -7 + -4x + 7 + x2 = 0 + 7 Reorder the terms: -7 + 7 + -4x + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x + x2 = 0 + 7 -4x + x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -4x + x2 = 7 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = 7 + 4 Reorder the terms: 4 + -4x + x2 = 7 + 4 Combine like terms: 7 + 4 = 11 4 + -4x + x2 = 11 Factor a perfect square on the left side: (x + -2)(x + -2) = 11 Calculate the square root of the right side: 3.31662479 Break this problem into two subproblems by setting (x + -2) equal to 3.31662479 and -3.31662479.Subproblem 1
x + -2 = 3.31662479 Simplifying x + -2 = 3.31662479 Reorder the terms: -2 + x = 3.31662479 Solving -2 + x = 3.31662479 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 3.31662479 + 2 Combine like terms: -2 + 2 = 0 0 + x = 3.31662479 + 2 x = 3.31662479 + 2 Combine like terms: 3.31662479 + 2 = 5.31662479 x = 5.31662479 Simplifying x = 5.31662479Subproblem 2
x + -2 = -3.31662479 Simplifying x + -2 = -3.31662479 Reorder the terms: -2 + x = -3.31662479 Solving -2 + x = -3.31662479 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = -3.31662479 + 2 Combine like terms: -2 + 2 = 0 0 + x = -3.31662479 + 2 x = -3.31662479 + 2 Combine like terms: -3.31662479 + 2 = -1.31662479 x = -1.31662479 Simplifying x = -1.31662479Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.31662479, -1.31662479}Solution
x = {5.31662479, -1.31662479}
| 2m-7=3m+4 | | -4(11a-6)=30 | | 5(x-3)-3x+7=2x-8 | | -5t^2+105=0 | | 20-4c=6c+6 | | 8m^8-5m^3+9m^9-6m^5= | | 7r^2-7r=0 | | -(3y+2)-(-2y-7)=-3 | | 4(2x-1)-2x=3-5(2x-5) | | n^2+3n-6=0 | | .5p=.6p+1.5 | | 4x-6=2(x-6) | | 9x-10=6x | | 3x(x-5)-3x=-30 | | c=2 | | 8x-(5x+5)=6x-44 | | 2x+16=-4x-5 | | 5+5t-2=8t+4-2t | | 7x-3(x+4)=5-6x | | [5a+3]=5 | | 2x^2-6x=56 | | 100c^2-d^2=0 | | 3(x-1)+4=3x+1 | | x^2+10x+28=0 | | [x+6]=6 | | -8n(10-1)=0 | | -8+2=482 | | 7x+14-x=5 | | 8p+15p=92 | | 3(x+6)=78 | | X+-2=33 | | S+s=100-10 |