If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x2 + -6x + 5) + (x2 + 4x + -7) = 0 Reorder the terms: (5 + -6x + x2) + (x2 + 4x + -7) = 0 Remove parenthesis around (5 + -6x + x2) 5 + -6x + x2 + (x2 + 4x + -7) = 0 Reorder the terms: 5 + -6x + x2 + (-7 + 4x + x2) = 0 Remove parenthesis around (-7 + 4x + x2) 5 + -6x + x2 + -7 + 4x + x2 = 0 Reorder the terms: 5 + -7 + -6x + 4x + x2 + x2 = 0 Combine like terms: 5 + -7 = -2 -2 + -6x + 4x + x2 + x2 = 0 Combine like terms: -6x + 4x = -2x -2 + -2x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 -2 + -2x + 2x2 = 0 Solving -2 + -2x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -1x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1x + x2)' equal to zero and attempt to solve: Simplifying -1 + -1x + x2 = 0 Solving -1 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + -1x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -1x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + x2 = 0 + 1 -1x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x + x2 = 1 The x term is -1x. 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. -1x + 0.25 + x2 = 1 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 1 + 0.25 Combine like terms: 1 + 0.25 = 1.25 0.25 + -1x + 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 = 1.618033989 x = 1.618033989 Simplifying x = 1.618033989Subproblem 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 = -0.618033989 x = -0.618033989 Simplifying x = -0.618033989Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.618033989, -0.618033989}Solution
x = {1.618033989, -0.618033989}
| 7p=63 | | 9z^2+42z+49= | | 12n^2+20n-32= | | (-4x+3)+(-2x^2+8)= | | ln(2x-1)+ln(x-4)=ln(x-2) | | 2(-13)-3y=4 | | 112n^2-252= | | g^2+17g+72= | | 5a+10=115 | | 2(3)+6y=32 | | x^2+40x+400=12 | | 10x^2-53x-11= | | (-x^2+10)+(3x+6)= | | 7y^2+11y-6= | | x(x-3)=x^2+6x-9 | | 4x+40=12-32 | | 0-2y=-4 | | X^2-10=159 | | a^2-6a-7= | | (-4x)10= | | -4-4x=2x+21 | | 3+7y=33 | | 10x+6(4-x)=2x-12 | | 5x^2+42x+16= | | 10(-4x)= | | 3(-4)+2y=2 | | 6u=-30 | | w^2+5w-6= | | 3(x-1)=2(x+6) | | -3x+-3x=-90 | | 146-3x=33x+22 | | g(x)=-4 |