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Simplifying 7x2 + -3x = 4x + x2 Reorder the terms: -3x + 7x2 = 4x + x2 Solving -3x + 7x2 = 4x + x2 Solving for variable 'x'. Reorder the terms: -3x + -4x + 7x2 + -1x2 = 4x + x2 + -4x + -1x2 Combine like terms: -3x + -4x = -7x -7x + 7x2 + -1x2 = 4x + x2 + -4x + -1x2 Combine like terms: 7x2 + -1x2 = 6x2 -7x + 6x2 = 4x + x2 + -4x + -1x2 Reorder the terms: -7x + 6x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -7x + 6x2 = 0 + x2 + -1x2 -7x + 6x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 6x) = 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 '(-7 + 6x)' equal to zero and attempt to solve: Simplifying -7 + 6x = 0 Solving -7 + 6x = 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 + 6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 0 + 7 6x = 0 + 7 Combine like terms: 0 + 7 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667Solution
x = {0, 1.166666667}
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