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Simplifying -4x2 = 3x2 + -6x Reorder the terms: -4x2 = -6x + 3x2 Solving -4x2 = -6x + 3x2 Solving for variable 'x'. Reorder the terms: 6x + -4x2 + -3x2 = -6x + 3x2 + 6x + -3x2 Combine like terms: -4x2 + -3x2 = -7x2 6x + -7x2 = -6x + 3x2 + 6x + -3x2 Reorder the terms: 6x + -7x2 = -6x + 6x + 3x2 + -3x2 Combine like terms: -6x + 6x = 0 6x + -7x2 = 0 + 3x2 + -3x2 6x + -7x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 6x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(6 + -7x) = 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 '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {0, 0.8571428571}
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