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Simplifying 7x(2x + -3) = 4x(12 + -3) Reorder the terms: 7x(-3 + 2x) = 4x(12 + -3) (-3 * 7x + 2x * 7x) = 4x(12 + -3) (-21x + 14x2) = 4x(12 + -3) Combine like terms: 12 + -3 = 9 -21x + 14x2 = 4x(9) Reorder the terms for easier multiplication: -21x + 14x2 = 4 * 9x Multiply 4 * 9 -21x + 14x2 = 36x Solving -21x + 14x2 = 36x Solving for variable 'x'. Reorder the terms: -21x + -36x + 14x2 = 36x + -36x Combine like terms: -21x + -36x = -57x -57x + 14x2 = 36x + -36x Combine like terms: 36x + -36x = 0 -57x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-57 + 14x) = 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 '(-57 + 14x)' equal to zero and attempt to solve: Simplifying -57 + 14x = 0 Solving -57 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 14x = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 14x = 0 + 57 14x = 0 + 57 Combine like terms: 0 + 57 = 57 14x = 57 Divide each side by '14'. x = 4.071428571 Simplifying x = 4.071428571Solution
x = {0, 4.071428571}
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