If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = 10x(9x + -10) Reorder the terms: 10 = 10x(-10 + 9x) 10 = (-10 * 10x + 9x * 10x) 10 = (-100x + 90x2) Solving 10 = -100x + 90x2 Solving for variable 'x'. Reorder the terms: 10 + 100x + -90x2 = -100x + 100x + 90x2 + -90x2 Combine like terms: -100x + 100x = 0 10 + 100x + -90x2 = 0 + 90x2 + -90x2 10 + 100x + -90x2 = 90x2 + -90x2 Combine like terms: 90x2 + -90x2 = 0 10 + 100x + -90x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(1 + 10x + -9x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(1 + 10x + -9x2)' equal to zero and attempt to solve: Simplifying 1 + 10x + -9x2 = 0 Solving 1 + 10x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. -0.1111111111 + -1.111111111x + x2 = 0 Move the constant term to the right: Add '0.1111111111' to each side of the equation. -0.1111111111 + -1.111111111x + 0.1111111111 + x2 = 0 + 0.1111111111 Reorder the terms: -0.1111111111 + 0.1111111111 + -1.111111111x + x2 = 0 + 0.1111111111 Combine like terms: -0.1111111111 + 0.1111111111 = 0.0000000000 0.0000000000 + -1.111111111x + x2 = 0 + 0.1111111111 -1.111111111x + x2 = 0 + 0.1111111111 Combine like terms: 0 + 0.1111111111 = 0.1111111111 -1.111111111x + x2 = 0.1111111111 The x term is -1.111111111x. Take half its coefficient (-0.5555555555). Square it (0.3086419752) and add it to both sides. Add '0.3086419752' to each side of the equation. -1.111111111x + 0.3086419752 + x2 = 0.1111111111 + 0.3086419752 Reorder the terms: 0.3086419752 + -1.111111111x + x2 = 0.1111111111 + 0.3086419752 Combine like terms: 0.1111111111 + 0.3086419752 = 0.4197530863 0.3086419752 + -1.111111111x + x2 = 0.4197530863 Factor a perfect square on the left side: (x + -0.5555555555)(x + -0.5555555555) = 0.4197530863 Calculate the square root of the right side: 0.647883544 Break this problem into two subproblems by setting (x + -0.5555555555) equal to 0.647883544 and -0.647883544.Subproblem 1
x + -0.5555555555 = 0.647883544 Simplifying x + -0.5555555555 = 0.647883544 Reorder the terms: -0.5555555555 + x = 0.647883544 Solving -0.5555555555 + x = 0.647883544 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5555555555' to each side of the equation. -0.5555555555 + 0.5555555555 + x = 0.647883544 + 0.5555555555 Combine like terms: -0.5555555555 + 0.5555555555 = 0.0000000000 0.0000000000 + x = 0.647883544 + 0.5555555555 x = 0.647883544 + 0.5555555555 Combine like terms: 0.647883544 + 0.5555555555 = 1.2034390995 x = 1.2034390995 Simplifying x = 1.2034390995Subproblem 2
x + -0.5555555555 = -0.647883544 Simplifying x + -0.5555555555 = -0.647883544 Reorder the terms: -0.5555555555 + x = -0.647883544 Solving -0.5555555555 + x = -0.647883544 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5555555555' to each side of the equation. -0.5555555555 + 0.5555555555 + x = -0.647883544 + 0.5555555555 Combine like terms: -0.5555555555 + 0.5555555555 = 0.0000000000 0.0000000000 + x = -0.647883544 + 0.5555555555 x = -0.647883544 + 0.5555555555 Combine like terms: -0.647883544 + 0.5555555555 = -0.0923279885 x = -0.0923279885 Simplifying x = -0.0923279885Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.2034390995, -0.0923279885}Solution
x = {1.2034390995, -0.0923279885}
| 2+3x=5+3x | | 4(-8x-2)+4x=-5 | | 2r-(5-r)=14+2r | | 3(x+16)=6(x+5) | | qz+x=r | | 2(1-y)+3y=-1 | | -8(1+5x)+5=13+5x | | -3p+7=5-8p-7 | | X+40+x+40=152 | | -3x=-4x+5 | | 6(1c-7)=7(1c-8) | | -18x+27-10x=1 | | 7(7c+1)-4=13(3c-2) | | 17424+72900x=1201.98 | | 2(m+3)=20 | | -5x-8+6x=-6x+4 | | 5m+4m-8=100 | | 24-(3c+4)=2(c+4)+c | | -1+1n=35 | | 11=-2x | | 5x-(x-2)=2-3(x+5) | | -4(-4x-2)=9 | | 9(4-2x)+7x=6(8+3x) | | -14=14(1h-4) | | 7.5x=1.2 | | -7(-3x+3)+4x=-2x | | -5x-2=-7 | | -1z=3 | | 3x-5(x-3)=-9+5x-11 | | -6(-4x+5)+5x+2=5 | | y=x^2+4x+20 | | .66666666666667+y=.75 |