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Simplifying 10x2 + -51x + 54 = -2 Reorder the terms: 54 + -51x + 10x2 = -2 Solving 54 + -51x + 10x2 = -2 Solving for variable 'x'. Reorder the terms: 54 + 2 + -51x + 10x2 = -2 + 2 Combine like terms: 54 + 2 = 56 56 + -51x + 10x2 = -2 + 2 Combine like terms: -2 + 2 = 0 56 + -51x + 10x2 = 0 Factor a trinomial. (8 + -5x)(7 + -2x) = 0Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {1.6, 3.5}
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