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Simplifying 2x2 + 4(3x) * 32 = 0 Remove parenthesis around (3x) 2x2 + 4 * 3x * 32 = 0 Reorder the terms for easier multiplication: 2x2 + 4 * 3 * 32x = 0 Multiply 4 * 3 2x2 + 12 * 32x = 0 Multiply 12 * 32 2x2 + 384x = 0 Reorder the terms: 384x + 2x2 = 0 Solving 384x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(192 + x) = 0 Ignore the factor 2.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 '(192 + x)' equal to zero and attempt to solve: Simplifying 192 + x = 0 Solving 192 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-192' to each side of the equation. 192 + -192 + x = 0 + -192 Combine like terms: 192 + -192 = 0 0 + x = 0 + -192 x = 0 + -192 Combine like terms: 0 + -192 = -192 x = -192 Simplifying x = -192Solution
x = {0, -192}
| -6y-3=15 | | z-9=-13 | | 8m+4=-4(4m+5) | | 7x-110=-x+42 | | 8*h=16+6h | | 4y+1=-35 | | 9x-(6x+2)=4x-27 | | 6-8x-12+x=15 | | 2x+x=96 | | 2c-5=3d+4 | | 2(x+1)=5(x-1) | | 14th=-(p-8) | | 2(6p-2)=76 | | 8y^2-2y+1= | | 2(3x-5)=4x-3 | | -8(x+2)=-5(x-3)+8 | | 9(2x-4)=3(6x+3) | | 12=x-9(-9) | | 72.3/x=.369 | | -8(1+6m)=-4(2-3m) | | =4g+18+6g | | 6yx-15-4x=33 | | .45x+39.99=.40x+44.99 | | 9h+j=23forj | | 9*9v+10v+4-5*5v+9= | | 5w+8y-12w=16-15w | | -4(3n-4)=-2(1+6n) | | f(x)=3x^3-5x^2+3 | | x^3-6x^2+9x=2 | | 19+-13p=-17p-24 | | xy=651 | | .369=72.3/x |