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Simplifying 4x2 + -7x + 18 = 6x + 18 Reorder the terms: 18 + -7x + 4x2 = 6x + 18 Reorder the terms: 18 + -7x + 4x2 = 18 + 6x Add '-18' to each side of the equation. 18 + -7x + -18 + 4x2 = 18 + -18 + 6x Reorder the terms: 18 + -18 + -7x + 4x2 = 18 + -18 + 6x Combine like terms: 18 + -18 = 0 0 + -7x + 4x2 = 18 + -18 + 6x -7x + 4x2 = 18 + -18 + 6x Combine like terms: 18 + -18 = 0 -7x + 4x2 = 0 + 6x -7x + 4x2 = 6x Solving -7x + 4x2 = 6x Solving for variable 'x'. Reorder the terms: -7x + -6x + 4x2 = 6x + -6x Combine like terms: -7x + -6x = -13x -13x + 4x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -13x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 4x) = 0Subproblem 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 '(-13 + 4x)' equal to zero and attempt to solve: Simplifying -13 + 4x = 0 Solving -13 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 4x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 0 + 13 4x = 0 + 13 Combine like terms: 0 + 13 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25Solution
x = {0, 3.25}
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