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Simplifying 4x * 4x + -14x + 12 = 12 Reorder the terms for easier multiplication: 4 * 4x * x + -14x + 12 = 12 Multiply 4 * 4 16x * x + -14x + 12 = 12 Multiply x * x 16x2 + -14x + 12 = 12 Reorder the terms: 12 + -14x + 16x2 = 12 Add '-12' to each side of the equation. 12 + -14x + -12 + 16x2 = 12 + -12 Reorder the terms: 12 + -12 + -14x + 16x2 = 12 + -12 Combine like terms: 12 + -12 = 0 0 + -14x + 16x2 = 12 + -12 -14x + 16x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -14x + 16x2 = 0 Solving -14x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-7 + 8x) = 0 Ignore the factor 2.Subproblem 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 + 8x)' equal to zero and attempt to solve: Simplifying -7 + 8x = 0 Solving -7 + 8x = 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 + 8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 0 + 7 8x = 0 + 7 Combine like terms: 0 + 7 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875Solution
x = {0, 0.875}
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