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Simplifying 42x3 + -35x2 + 14x = 0 Reorder the terms: 14x + -35x2 + 42x3 = 0 Solving 14x + -35x2 + 42x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(2 + -5x + 6x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(2 + -5x + 6x2)' equal to zero and attempt to solve: Simplifying 2 + -5x + 6x2 = 0 Solving 2 + -5x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.3333333333 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.8333333333x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.8333333333x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.8333333333x + x2 = 0 + -0.3333333333 -0.8333333333x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.8333333333x + x2 = -0.3333333333 The x term is -0.8333333333x. Take half its coefficient (-0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. -0.8333333333x + 0.1736111111 + x2 = -0.3333333333 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333x + x2 = -0.3333333333 + 0.1736111111 Combine like terms: -0.3333333333 + 0.1736111111 = -0.1597222222 0.1736111111 + -0.8333333333x + x2 = -0.1597222222 Factor a perfect square on the left side: (x + -0.4166666667)(x + -0.4166666667) = -0.1597222222 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
| -7+x=8 | | 2(6v+7)=10(v+8) | | -1/2+3x=1 | | 35+3g=71 | | 8+x/7=16 | | 3x(7)-x=127 | | 6(3n+3)=6(7n+3)+5 | | x^3-8x^2-5x+40=0 | | 15=2m-3 | | 12+x/11=9 | | x(x)+15x=-56 | | 2.2x-2.4=13 | | 3b^2-7b=40 | | m^4+13m^3+22m^2=0 | | x(x)+10x+25=0 | | 3(x-2)+10x=33 | | 12+m/6=15 | | 8y-16+5y=-59 | | s(s)+10s+24=0 | | 7=4x-5 | | 50-2h=44 | | 4x-8=28-x | | -15x=23(4+4)/(-23) | | 4(-7+x)=5x-1/4 | | -15x=23(4+4)/23 | | c/5+8=-5 | | 8/3+2.4 | | 18+9m=288 | | 15x=23(4+4)/23 | | 9x+4=1+2x | | x+7/4=8/5 | | 2.8x-3.3=-8.9 |