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Simplifying 7x2 + -3x + -7 = -7 Reorder the terms: -7 + -3x + 7x2 = -7 Add '7' to each side of the equation. -7 + -3x + 7 + 7x2 = -7 + 7 Reorder the terms: -7 + 7 + -3x + 7x2 = -7 + 7 Combine like terms: -7 + 7 = 0 0 + -3x + 7x2 = -7 + 7 -3x + 7x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -3x + 7x2 = 0 Solving -3x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 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 '(-3 + 7x)' equal to zero and attempt to solve: Simplifying -3 + 7x = 0 Solving -3 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 0 + 3 7x = 0 + 3 Combine like terms: 0 + 3 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {0, 0.4285714286}
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