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Simplifying 0 = 3x2 + -176x + 1536 Reorder the terms: 0 = 1536 + -176x + 3x2 Solving 0 = 1536 + -176x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -1536 = -1536 -1536 + 176x + -3x2 = 1536 + -176x + 3x2 + -1536 + 176x + -3x2 Reorder the terms: -1536 + 176x + -3x2 = 1536 + -1536 + -176x + 176x + 3x2 + -3x2 Combine like terms: 1536 + -1536 = 0 -1536 + 176x + -3x2 = 0 + -176x + 176x + 3x2 + -3x2 -1536 + 176x + -3x2 = -176x + 176x + 3x2 + -3x2 Combine like terms: -176x + 176x = 0 -1536 + 176x + -3x2 = 0 + 3x2 + -3x2 -1536 + 176x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1536 + 176x + -3x2 = 0 Factor a trinomial. (-48 + x)(32 + -3x) = 0Subproblem 1
Set the factor '(-48 + x)' equal to zero and attempt to solve: Simplifying -48 + x = 0 Solving -48 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + x = 0 + 48 x = 0 + 48 Combine like terms: 0 + 48 = 48 x = 48 Simplifying x = 48Subproblem 2
Set the factor '(32 + -3x)' equal to zero and attempt to solve: Simplifying 32 + -3x = 0 Solving 32 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -3x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -3x = 0 + -32 -3x = 0 + -32 Combine like terms: 0 + -32 = -32 -3x = -32 Divide each side by '-3'. x = 10.66666667 Simplifying x = 10.66666667Solution
x = {48, 10.66666667}
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